diff --git a/src/Microsoft.AspNetCore.Mvc.TagHelpers/Cache/CacheTagKey.cs b/src/Microsoft.AspNetCore.Mvc.TagHelpers/Cache/CacheTagKey.cs
index 3abaea6627..f46295d3de 100644
--- a/src/Microsoft.AspNetCore.Mvc.TagHelpers/Cache/CacheTagKey.cs
+++ b/src/Microsoft.AspNetCore.Mvc.TagHelpers/Cache/CacheTagKey.cs
@@ -6,6 +6,7 @@
 using System.Security.Cryptography;
 using System.Text;
 using Microsoft.AspNetCore.Http;
+using Microsoft.AspNetCore.Mvc.TagHelpers.Internal;
 using Microsoft.AspNetCore.Razor.TagHelpers;
 using Microsoft.AspNetCore.Routing;
 using Microsoft.Extensions.Internal;
@@ -151,10 +152,10 @@ public string GenerateHashedKey()
             // The key is typically too long to be useful, so we use a cryptographic hash
             // as the actual key (better randomization and key distribution, so small vary
             // values will generate dramatically different keys).
-            using (var sha = SHA256.Create())
+            using (var sha256 = CryptographyAlgorithms.CreateSHA256())
             {
                 var contentBytes = Encoding.UTF8.GetBytes(key);
-                var hashedBytes = sha.ComputeHash(contentBytes);
+                var hashedBytes = sha256.ComputeHash(contentBytes);
                 return Convert.ToBase64String(hashedBytes);
             }
         }
@@ -183,14 +184,14 @@ public bool Equals(CacheTagKey other)
                 AreSame(_headers, other._headers) &&
                 AreSame(_queries, other._queries) &&
                 AreSame(_routeValues, other._routeValues) &&
-                _varyByUser == other._varyByUser && 
+                _varyByUser == other._varyByUser &&
                 (!_varyByUser || string.Equals(other._username, _username, StringComparison.Ordinal));
         }
 
         /// <inheritdoc />
         public override int GetHashCode()
         {
-            // The hashcode is intentionally not using the computed 
+            // The hashcode is intentionally not using the computed
             // stringified key in order to prevent string allocations
             // in the common case where it's not explicitly required.
 
@@ -219,7 +220,7 @@ public override int GetHashCode()
 
             return _hashcode.Value;
         }
-        
+
         private static IList<KeyValuePair<string, string>> ExtractCollection<TSourceCollection>(string keys, TSourceCollection collection, Func<TSourceCollection, string, string> accessor)
         {
             if (string.IsNullOrEmpty(keys))
@@ -244,7 +245,7 @@ private static IList<KeyValuePair<string, string>> ExtractCollection<TSourceColl
 
             return result;
         }
-        
+
         private static void AddStringCollection(
             StringBuilder builder,
             string collectionName,
@@ -275,7 +276,7 @@ private static void AddStringCollection(
                     .Append(CacheKeyTokenSeparator)
                     .Append(item.Value);
             }
-            
+
             builder.Append(")");
         }
 
diff --git a/src/Microsoft.AspNetCore.Mvc.TagHelpers/Internal/CryptographyAlgorithms.cs b/src/Microsoft.AspNetCore.Mvc.TagHelpers/Internal/CryptographyAlgorithms.cs
new file mode 100644
index 0000000000..569c34ea7b
--- /dev/null
+++ b/src/Microsoft.AspNetCore.Mvc.TagHelpers/Internal/CryptographyAlgorithms.cs
@@ -0,0 +1,38 @@
+// Copyright (c) .NET Foundation. All rights reserved.
+// Licensed under the Apache License, Version 2.0. See License.txt in the project root for license information.
+
+using System.Security.Cryptography;
+
+namespace Microsoft.AspNetCore.Mvc.TagHelpers.Internal
+{
+    public static class CryptographyAlgorithms
+    {
+#if NETSTANDARD1_6
+        public static SHA256 CreateSHA256()
+        {
+            var sha256 = SHA256.Create();
+
+            return sha256;
+        }
+#else
+        public static SHA256 CreateSHA256()
+        {
+            SHA256 sha256;
+
+            try
+            {
+                sha256 = SHA256.Create();
+            }
+            // SHA256.Create is documented to throw this exception on FIPS compliant machines.
+            // See: https://msdn.microsoft.com/en-us/library/z08hz7ad%28v=vs.110%29.aspx?f=255&MSPPError=-2147217396
+            catch (System.Reflection.TargetInvocationException)
+            {
+                // Fallback to a FIPS compliant SHA256 algorithm.
+                sha256 = new SHA256CryptoServiceProvider();
+            }
+
+            return sha256;
+        }
+#endif
+    }
+}
diff --git a/src/Microsoft.AspNetCore.Mvc.TagHelpers/Internal/FileVersionProvider.cs b/src/Microsoft.AspNetCore.Mvc.TagHelpers/Internal/FileVersionProvider.cs
index c20d81145b..88ec50b513 100644
--- a/src/Microsoft.AspNetCore.Mvc.TagHelpers/Internal/FileVersionProvider.cs
+++ b/src/Microsoft.AspNetCore.Mvc.TagHelpers/Internal/FileVersionProvider.cs
@@ -111,7 +111,7 @@ public string AddFileVersionToPath(string path)
 
         private static string GetHashForFile(IFileInfo fileInfo)
         {
-            using (var sha256 = SHA256.Create())
+            using (var sha256 = CryptographyAlgorithms.CreateSHA256())
             {
                 using (var readStream = fileInfo.CreateReadStream())
                 {