diff --git a/docs/HACKING-CRYPTO b/docs/HACKING-CRYPTO
index ca947728..d0173553 100644
--- a/docs/HACKING-CRYPTO
+++ b/docs/HACKING-CRYPTO
@@ -637,6 +637,32 @@ Note: this procedure is not used if macro _libssh2_rsa_sha1_signv() is defined.
 void _libssh2_rsa_free(libssh2_rsa_ctx *rsactx);
 Releases the RSA computation context at rsactx.
 
+LIBSSH2_RSA_SHA2
+#define as 1 if the crypto library supports RSA SHA2 256/512, else 0.
+If defined as 0, the rest of this section can be omitted.
+
+int _libssh2_rsa_sha2_sign(LIBSSH2_SESSION * session,
+                           libssh2_rsa_ctx * rsactx,
+                           const unsigned char *hash,
+                           size_t hash_len,
+                           unsigned char **signature,
+                           size_t *signature_len);
+RSA signs the (hash, hashlen) SHA-2 hash bytes based on hash length and stores
+the allocated signature at (signature, signature_len).
+Signature buffer must be allocated from the given session.
+Returns 0 if OK, else -1.
+This procedure is already prototyped in crypto.h.
+Note: this procedure is not used if macro _libssh2_rsa_sha1_signv() is defined.
+
+int _libssh2_rsa_sha2_verify(libssh2_rsa_ctx * rsa,
+                             size_t hash_len,
+                             const unsigned char *sig,
+                             unsigned long sig_len,
+                             const unsigned char *m, unsigned long m_len);
+Verify (sig, sig_len) signature of (m, m_len) using an SHA-2 hash based on
+hash length and the RSA context.
+Return 0 if OK, else -1.
+This procedure is already prototyped in crypto.h.
 
 7.2) DSA
 LIBSSH2_DSA
diff --git a/src/crypto.h b/src/crypto.h
index f512d603..efaf1564 100644
--- a/src/crypto.h
+++ b/src/crypto.h
@@ -93,6 +93,19 @@ int _libssh2_rsa_sha1_sign(LIBSSH2_SESSION * session,
                            size_t hash_len,
                            unsigned char **signature,
                            size_t *signature_len);
+#if LIBSSH2_RSA_SHA2
+int _libssh2_rsa_sha2_sign(LIBSSH2_SESSION * session,
+                           libssh2_rsa_ctx * rsactx,
+                           const unsigned char *hash,
+                           size_t hash_len,
+                           unsigned char **signature,
+                           size_t *signature_len);
+int _libssh2_rsa_sha2_verify(libssh2_rsa_ctx * rsa,
+                             size_t hash_len,
+                             const unsigned char *sig,
+                             unsigned long sig_len,
+                             const unsigned char *m, unsigned long m_len);
+#endif
 int _libssh2_rsa_new_private_frommemory(libssh2_rsa_ctx ** rsa,
                                         LIBSSH2_SESSION * session,
                                         const char *filedata,
diff --git a/src/hostkey.c b/src/hostkey.c
index d126b611..1a0011ce 100644
--- a/src/hostkey.c
+++ b/src/hostkey.c
@@ -227,6 +227,146 @@ hostkey_method_ssh_rsa_signv(LIBSSH2_SESSION * session,
 #endif
 }
 
+/*
+ * hostkey_method_ssh_rsa_sha2_256_sig_verify
+ *
+ * Verify signature created by remote
+ */
+#if LIBSSH2_RSA_SHA2
+
+static int
+hostkey_method_ssh_rsa_sha2_256_sig_verify(LIBSSH2_SESSION * session,
+                                   const unsigned char *sig,
+                                   size_t sig_len,
+                                   const unsigned char *m,
+                                   size_t m_len, void **abstract)
+{
+    libssh2_rsa_ctx *rsactx = (libssh2_rsa_ctx *) (*abstract);
+    (void) session;
+
+    /* Skip past keyname_len(4) + keyname(12){"rsa-sha2-256"} +
+    signature_len(4) */
+    if(sig_len < 20)
+        return -1;
+
+    sig += 20;
+    sig_len -= 20;
+    return _libssh2_rsa_sha2_verify(rsactx, SHA256_DIGEST_LENGTH, sig, sig_len,
+                                    m, m_len);
+}
+
+/*
+ * hostkey_method_ssh_rsa_sha2_256_signv
+ *
+ * Construct a signature from an array of vectors
+ */
+
+static int
+hostkey_method_ssh_rsa_sha2_256_signv(LIBSSH2_SESSION * session,
+                             unsigned char **signature,
+                             size_t *signature_len,
+                             int veccount,
+                             const struct iovec datavec[],
+                             void **abstract)
+{
+    libssh2_rsa_ctx *rsactx = (libssh2_rsa_ctx *) (*abstract);
+
+#ifdef _libssh2_rsa_sha2_256_signv
+    return _libssh2_rsa_sha2_256_signv(session, signature, signature_len,
+                                       veccount, datavec, rsactx);
+#else
+    int ret;
+    int i;
+    unsigned char hash[SHA256_DIGEST_LENGTH];
+    libssh2_sha256_ctx ctx;
+
+    libssh2_sha256_init(&ctx);
+    for(i = 0; i < veccount; i++) {
+        libssh2_sha256_update(ctx, datavec[i].iov_base, datavec[i].iov_len);
+    }
+    libssh2_sha256_final(ctx, hash);
+
+    ret = _libssh2_rsa_sha2_sign(session, rsactx, hash, SHA256_DIGEST_LENGTH,
+                                 signature, signature_len);
+    if(ret) {
+        return -1;
+    }
+
+    return 0;
+#endif
+}
+
+/*
+ * hostkey_method_ssh_rsa_sha2_512_sig_verify
+ *
+ * Verify signature created by remote
+ */
+
+static int
+hostkey_method_ssh_rsa_sha2_512_sig_verify(LIBSSH2_SESSION * session,
+                                   const unsigned char *sig,
+                                   size_t sig_len,
+                                   const unsigned char *m,
+                                   size_t m_len, void **abstract)
+{
+    libssh2_rsa_ctx *rsactx = (libssh2_rsa_ctx *) (*abstract);
+    (void) session;
+
+    /* Skip past keyname_len(4) + keyname(12){"rsa-sha2-512"} +
+    signature_len(4) */
+    if(sig_len < 20)
+        return -1;
+
+    sig += 20;
+    sig_len -= 20;
+    return _libssh2_rsa_sha2_verify(rsactx, SHA512_DIGEST_LENGTH, sig,
+                                    sig_len, m, m_len);
+}
+
+
+/*
+ * hostkey_method_ssh_rsa_sha2_512_signv
+ *
+ * Construct a signature from an array of vectors
+ */
+static int
+hostkey_method_ssh_rsa_sha2_512_signv(LIBSSH2_SESSION * session,
+                             unsigned char **signature,
+                             size_t *signature_len,
+                             int veccount,
+                             const struct iovec datavec[],
+                             void **abstract)
+{
+    libssh2_rsa_ctx *rsactx = (libssh2_rsa_ctx *) (*abstract);
+
+#ifdef _libssh2_rsa_sha2_512_signv
+    return _libssh2_rsa_sha2_512_signv(session, signature, signature_len,
+                                       veccount, datavec, rsactx);
+#else
+    int ret;
+    int i;
+    unsigned char hash[SHA512_DIGEST_LENGTH];
+    libssh2_sha512_ctx ctx;
+
+    libssh2_sha512_init(&ctx);
+    for(i = 0; i < veccount; i++) {
+        libssh2_sha512_update(ctx, datavec[i].iov_base, datavec[i].iov_len);
+    }
+    libssh2_sha512_final(ctx, hash);
+
+    ret = _libssh2_rsa_sha2_sign(session, rsactx, hash, SHA512_DIGEST_LENGTH,
+                                 signature, signature_len);
+    if(ret) {
+        return -1;
+    }
+
+    return 0;
+#endif
+}
+
+#endif /* LIBSSH2_RSA_SHA2 */
+
+
 /*
  * hostkey_method_ssh_rsa_dtor
  *
@@ -260,6 +400,35 @@ static const LIBSSH2_HOSTKEY_METHOD hostkey_method_ssh_rsa = {
     NULL,                       /* encrypt */
     hostkey_method_ssh_rsa_dtor,
 };
+
+#if LIBSSH2_RSA_SHA2
+
+static const LIBSSH2_HOSTKEY_METHOD hostkey_method_ssh_rsa_sha2_256 = {
+    "rsa-sha2-256",
+    SHA256_DIGEST_LENGTH,
+    hostkey_method_ssh_rsa_init,
+    hostkey_method_ssh_rsa_initPEM,
+    hostkey_method_ssh_rsa_initPEMFromMemory,
+    hostkey_method_ssh_rsa_sha2_256_sig_verify,
+    hostkey_method_ssh_rsa_sha2_256_signv,
+    NULL,                       /* encrypt */
+    hostkey_method_ssh_rsa_dtor,
+};
+
+static const LIBSSH2_HOSTKEY_METHOD hostkey_method_ssh_rsa_sha2_512 = {
+    "rsa-sha2-512",
+    SHA512_DIGEST_LENGTH,
+    hostkey_method_ssh_rsa_init,
+    hostkey_method_ssh_rsa_initPEM,
+    hostkey_method_ssh_rsa_initPEMFromMemory,
+    hostkey_method_ssh_rsa_sha2_512_sig_verify,
+    hostkey_method_ssh_rsa_sha2_512_signv,
+    NULL,                       /* encrypt */
+    hostkey_method_ssh_rsa_dtor,
+};
+
+#endif /* LIBSSH2_RSA_SHA2 */
+
 #endif /* LIBSSH2_RSA */
 
 #if LIBSSH2_DSA
@@ -1043,6 +1212,10 @@ static const LIBSSH2_HOSTKEY_METHOD *hostkey_methods[] = {
     &hostkey_method_ssh_ed25519,
 #endif
 #if LIBSSH2_RSA
+#if LIBSSH2_RSA_SHA2
+    &hostkey_method_ssh_rsa_sha2_512,
+    &hostkey_method_ssh_rsa_sha2_256,
+#endif /* LIBSSH2_RSA_SHA2 */
     &hostkey_method_ssh_rsa,
 #endif /* LIBSSH2_RSA */
 #if LIBSSH2_DSA
diff --git a/src/libgcrypt.h b/src/libgcrypt.h
index 298c65ed..95876b96 100644
--- a/src/libgcrypt.h
+++ b/src/libgcrypt.h
@@ -55,6 +55,7 @@
 #define LIBSSH2_3DES 1
 
 #define LIBSSH2_RSA 1
+#define LIBSSH2_RSA_SHA2 0
 #define LIBSSH2_DSA 1
 #define LIBSSH2_ECDSA 0
 #define LIBSSH2_ED25519 0
diff --git a/src/mbedtls.h b/src/mbedtls.h
index 671932c5..0450113f 100644
--- a/src/mbedtls.h
+++ b/src/mbedtls.h
@@ -71,6 +71,7 @@
 #define LIBSSH2_3DES            1
 
 #define LIBSSH2_RSA             1
+#define LIBSSH2_RSA_SHA2        0
 #define LIBSSH2_DSA             0
 #ifdef MBEDTLS_ECDSA_C
 # define LIBSSH2_ECDSA          1
diff --git a/src/openssl.c b/src/openssl.c
index 7a6810f1..537031e1 100644
--- a/src/openssl.c
+++ b/src/openssl.c
@@ -153,20 +153,56 @@ _libssh2_rsa_new(libssh2_rsa_ctx ** rsa,
     return 0;
 }
 
+int
+_libssh2_rsa_sha2_verify(libssh2_rsa_ctx * rsactx,
+                         size_t hash_len,
+                         const unsigned char *sig,
+                         unsigned long sig_len,
+                         const unsigned char *m, unsigned long m_len)
+{
+    int ret;
+    int nid_type;
+    unsigned char *hash = malloc(hash_len);
+    if(hash == NULL)
+        return -1;
+
+    if(hash_len == SHA_DIGEST_LENGTH) {
+        nid_type = NID_sha1;
+        ret = _libssh2_sha1(m, m_len, hash);
+    }
+    else if(hash_len == SHA256_DIGEST_LENGTH) {
+        nid_type = NID_sha256;
+        ret = _libssh2_sha256(m, m_len, hash);
+
+    }
+    else if(hash_len == SHA512_DIGEST_LENGTH) {
+        nid_type = NID_sha512;
+        ret = _libssh2_sha512(m, m_len, hash);
+    }
+    else
+        ret = -1; /* unsupported digest */
+
+    if(ret != 0) {
+        free(hash);
+        return -1; /* failure */
+    }
+
+    ret = RSA_verify(nid_type, hash, hash_len,
+                     (unsigned char *) sig, sig_len, rsactx);
+
+    free(hash);
+
+    return (ret == 1) ? 0 : -1;
+}
+
 int
 _libssh2_rsa_sha1_verify(libssh2_rsa_ctx * rsactx,
                          const unsigned char *sig,
                          unsigned long sig_len,
                          const unsigned char *m, unsigned long m_len)
 {
-    unsigned char hash[SHA_DIGEST_LENGTH];
-    int ret;
-
-    if(_libssh2_sha1(m, m_len, hash))
-        return -1; /* failure */
-    ret = RSA_verify(NID_sha1, hash, SHA_DIGEST_LENGTH,
-                     (unsigned char *) sig, sig_len, rsactx);
-    return (ret == 1) ? 0 : -1;
+    return _libssh2_rsa_sha2_verify(rsactx, SHA_DIGEST_LENGTH, sig, sig_len, m,
+                                    m_len);
 }
 
 #if LIBSSH2_DSA
@@ -1876,7 +1912,7 @@ _libssh2_ed25519_new_public(libssh2_ed25519_ctx ** ed_ctx,
 
 
 int
-_libssh2_rsa_sha1_sign(LIBSSH2_SESSION * session,
+_libssh2_rsa_sha2_sign(LIBSSH2_SESSION * session,
                        libssh2_rsa_ctx * rsactx,
                        const unsigned char *hash,
                        size_t hash_len,
@@ -1893,7 +1929,17 @@ _libssh2_rsa_sha1_sign(LIBSSH2_SESSION * session,
         return -1;
     }
 
-    ret = RSA_sign(NID_sha1, hash, hash_len, sig, &sig_len, rsactx);
+    if(hash_len == SHA_DIGEST_LENGTH)
+        ret = RSA_sign(NID_sha1, hash, hash_len, sig, &sig_len, rsactx);
+    else if(hash_len == SHA256_DIGEST_LENGTH)
+        ret = RSA_sign(NID_sha256, hash, hash_len, sig, &sig_len, rsactx);
+    else if(hash_len == SHA512_DIGEST_LENGTH)
+        ret = RSA_sign(NID_sha512, hash, hash_len, sig, &sig_len, rsactx);
+    else {
+        _libssh2_error(session, LIBSSH2_ERROR_PROTO,
+                       "Unsupported hash digest length");
+        ret = -1;
+    }
 
     if(!ret) {
         LIBSSH2_FREE(session, sig);
@@ -1906,6 +1952,19 @@ _libssh2_rsa_sha1_sign(LIBSSH2_SESSION * session,
     return 0;
 }
 
+
+int
+_libssh2_rsa_sha1_sign(LIBSSH2_SESSION * session,
+                       libssh2_rsa_ctx * rsactx,
+                       const unsigned char *hash,
+                       size_t hash_len,
+                       unsigned char **signature, size_t *signature_len)
+{
+    return _libssh2_rsa_sha2_sign(session, rsactx, hash, hash_len,
+                                  signature, signature_len);
+}
+
+
 #if LIBSSH2_DSA
 int
 _libssh2_dsa_sha1_sign(libssh2_dsa_ctx * dsactx,
diff --git a/src/openssl.h b/src/openssl.h
index 658b040d..2a002b41 100644
--- a/src/openssl.h
+++ b/src/openssl.h
@@ -64,8 +64,10 @@
 
 #ifdef OPENSSL_NO_RSA
 # define LIBSSH2_RSA 0
+# define LIBSSH2_RSA_SHA2 0
 #else
 # define LIBSSH2_RSA 1
+# define LIBSSH2_RSA_SHA2 1
 #endif
 
 #ifdef OPENSSL_NO_DSA
diff --git a/src/os400qc3.h b/src/os400qc3.h
index e3602d9f..7bcef233 100644
--- a/src/os400qc3.h
+++ b/src/os400qc3.h
@@ -175,6 +175,7 @@
 #define LIBSSH2_3DES            1
 
 #define LIBSSH2_RSA             1
+#define LIBSSH2_RSA_SHA2        0
 #define LIBSSH2_DSA             0
 #define LIBSSH2_ECDSA           0
 #define LIBSSH2_ED25519         0
diff --git a/src/userauth.c b/src/userauth.c
index eff8a296..dda79b55 100644
--- a/src/userauth.c
+++ b/src/userauth.c
@@ -549,6 +549,24 @@ libssh2_userauth_password_ex(LIBSSH2_SESSION *session, const char *username,
     return rc;
 }
 
+/*
+ * upgrade_publickey_method 
+ *
+ * Change method from ssh-rsa to rsa-sha2-256 is RSA SHA2 is supported.
+ */
+static void upgrade_publickey_method(LIBSSH2_SESSION * session, 
+                                     unsigned char **method,
+                                     size_t *method_len) {
+#if LIBSSH2_RSA_SHA2
+    if(*method_len == 7 && memcmp(*method, "ssh-rsa", 7) == 0) {
+        LIBSSH2_FREE(session, *method);
+        *method_len = 12;
+        *method = LIBSSH2_ALLOC(session, 12);
+        memcpy(*method, "rsa-sha2-256", 12);
+    }
+#endif
+}
+
 static int
 memory_read_publickey(LIBSSH2_SESSION * session, unsigned char **method,
                       size_t *method_len,
@@ -615,6 +633,9 @@ memory_read_publickey(LIBSSH2_SESSION * session, unsigned char **method,
     *method = pubkey;
     *method_len = sp1 - pubkey - 1;
 
+     /* upgrade to sha2 for rsa keys when supported */
+    upgrade_publickey_method(session, method, method_len);
+
     *pubkeydata = tmp;
     *pubkeydata_len = tmp_len;
 
@@ -717,6 +738,9 @@ file_read_publickey(LIBSSH2_SESSION * session, unsigned char **method,
      * it a wash */
     *method = pubkey;
     *method_len = sp1 - pubkey - 1;
+    
+    /* upgrade to sha2 for rsa keys when supported */
+    upgrade_publickey_method(session, method, method_len);
 
     *pubkeydata = tmp;
     *pubkeydata_len = tmp_len;
@@ -1219,10 +1243,19 @@ _libssh2_userauth_publickey(LIBSSH2_SESSION *session,
          * TODO: The data should match too but we don't check that. Should we?
          */
         else if(session->userauth_pblc_method_len !=
-                 _libssh2_ntohu32(pubkeydata))
-            return _libssh2_error(session, LIBSSH2_ERROR_PUBLICKEY_UNVERIFIED,
-                                  "Invalid public key");
+                 _libssh2_ntohu32(pubkeydata)) {
+        
+            // we accept mismatch if public key is "ssh-rsa" and 
+            // method has prefix "rsa-sha2-" to satisfy RFC 8332
+            if(session->userauth_pblc_method_len < 9 ||
+               _libssh2_ntohu32(pubkeydata) != 7 ||
+               memcmp(pubkeydata + 4, "ssh-rsa", 7) ||
+               memcmp(session->userauth_pblc_method, "rsa-sha2-", 9)) {
 
+                return _libssh2_error(session, LIBSSH2_ERROR_PUBLICKEY_UNVERIFIED,
+                                  "Invalid public key");
+            }
+        }
         /*
          * 45 = packet_type(1) + username_len(4) + servicename_len(4) +
          * service_name(14)"ssh-connection" + authmethod_len(4) +
diff --git a/src/wincng.h b/src/wincng.h
index eaf6f905..538cc431 100644
--- a/src/wincng.h
+++ b/src/wincng.h
@@ -63,6 +63,7 @@
 #define LIBSSH2_3DES 1
 
 #define LIBSSH2_RSA 1
+#define LIBSSH2_RSA_SHA2 0
 #define LIBSSH2_DSA 1
 #define LIBSSH2_ECDSA 0
 #define LIBSSH2_ED25519 0