diff --git a/StyleCop.Analyzers/StyleCop.Analyzers.Test/NamingRules/SA1313UnitTests.cs b/StyleCop.Analyzers/StyleCop.Analyzers.Test/NamingRules/SA1313UnitTests.cs
index 7787662b3..b5b667d31 100644
--- a/StyleCop.Analyzers/StyleCop.Analyzers.Test/NamingRules/SA1313UnitTests.cs
+++ b/StyleCop.Analyzers/StyleCop.Analyzers.Test/NamingRules/SA1313UnitTests.cs
@@ -362,6 +362,118 @@ public override void Method(int Param1, int param2, int Other)
             await this.VerifyCSharpDiagnosticAsync(testCode, expected, CancellationToken.None).ConfigureAwait(false);
         }
 
+        /// <summary>
+        /// This is a regression test for DotNetAnalyzers/StyleCopAnalyzers#1442:
+        /// https://github.com/DotNetAnalyzers/StyleCopAnalyzers/issues/1442
+        /// </summary>
+        /// <returns>A <see cref="Task"/> representing the asynchronous operation.</returns>
+        [Fact]
+        public async Task TestSimpleLambaExpressionAsync()
+        {
+            var testCode = @"public class TypeName
+{
+    public void MethodName()
+    {
+        System.Action<int> action = Ignored => { };
+    }
+}";
+
+            DiagnosticResult expected = this.CSharpDiagnostic().WithArguments("Ignored").WithLocation(5, 37);
+
+            await this.VerifyCSharpDiagnosticAsync(testCode, expected, CancellationToken.None).ConfigureAwait(false);
+        }
+
+        /// <summary>
+        /// This is a regression test for DotNetAnalyzers/StyleCopAnalyzers#1343:
+        /// https://github.com/DotNetAnalyzers/StyleCopAnalyzers/issues/1343
+        /// </summary>
+        /// <returns>A <see cref="Task"/> representing the asynchronous operation.</returns>
+        [Fact]
+        public async Task TestLambdaParameterNamedUnderscoreAsync()
+        {
+            var testCode = @"public class TypeName
+{
+    public void MethodName()
+    {
+        System.Action<int> action1 = _ => { };
+        System.Action<int> action2 = (_) => { };
+        System.Action<int> action3 = delegate(int _) { };
+    }
+}";
+
+            await this.VerifyCSharpDiagnosticAsync(testCode, EmptyDiagnosticResults, CancellationToken.None).ConfigureAwait(false);
+        }
+
+        /// <summary>
+        /// This is a regression test for DotNetAnalyzers/StyleCopAnalyzers#1343:
+        /// https://github.com/DotNetAnalyzers/StyleCopAnalyzers/issues/1343
+        /// </summary>
+        /// <remarks>
+        /// <para>This diagnostic does not check whether or not a parameter named <c>_</c> is being used.</para>
+        /// </remarks>
+        /// <returns>A <see cref="Task"/> representing the asynchronous operation.</returns>
+        [Fact]
+        public async Task TestLambdaParameterNamedUnderscoreUsageAsync()
+        {
+            var testCode = @"public class TypeName
+{
+    public void MethodName()
+    {
+        System.Func<int, int> function1 = _ => _;
+        System.Func<int, int> function2 = (_) => _;
+        System.Func<int, int> function3 = delegate(int _) { return _; };
+    }
+}";
+
+            await this.VerifyCSharpDiagnosticAsync(testCode, EmptyDiagnosticResults, CancellationToken.None).ConfigureAwait(false);
+        }
+
+        /// <summary>
+        /// This is a regression test for DotNetAnalyzers/StyleCopAnalyzers#1343:
+        /// https://github.com/DotNetAnalyzers/StyleCopAnalyzers/issues/1343
+        /// </summary>
+        /// <returns>A <see cref="Task"/> representing the asynchronous operation.</returns>
+        [Fact]
+        public async Task TestLambdaParameterMultipleUnderscoresAsync()
+        {
+            var testCode = @"public class TypeName
+{
+    public void MethodName()
+    {
+        System.Action<int> action1 = __ => { };
+        System.Action<int> action2 = (__) => { };
+        System.Action<int> action3 = delegate(int __) { };
+    }
+}";
+
+            DiagnosticResult[] expected =
+            {
+                this.CSharpDiagnostic().WithArguments("__").WithLocation(5, 38),
+                this.CSharpDiagnostic().WithArguments("__").WithLocation(6, 39),
+                this.CSharpDiagnostic().WithArguments("__").WithLocation(7, 51)
+            };
+            await this.VerifyCSharpDiagnosticAsync(testCode, expected, CancellationToken.None).ConfigureAwait(false);
+        }
+
+        /// <summary>
+        /// This is a regression test for DotNetAnalyzers/StyleCopAnalyzers#1343:
+        /// https://github.com/DotNetAnalyzers/StyleCopAnalyzers/issues/1343
+        /// </summary>
+        /// <returns>A <see cref="Task"/> representing the asynchronous operation.</returns>
+        [Fact]
+        public async Task TestMethodParameterNamedUnderscoreAsync()
+        {
+            var testCode = @"public class TypeName
+{
+    public void MethodName(int _)
+    {
+    }
+}";
+
+            DiagnosticResult expected = this.CSharpDiagnostic().WithArguments("_").WithLocation(3, 32);
+            await this.VerifyCSharpDiagnosticAsync(testCode, expected, CancellationToken.None).ConfigureAwait(false);
+        }
+
         protected override IEnumerable<DiagnosticAnalyzer> GetCSharpDiagnosticAnalyzers()
         {
             yield return new SA1313ParameterNamesMustBeginWithLowerCaseLetter();
diff --git a/StyleCop.Analyzers/StyleCop.Analyzers/NamingRules/SA1313ParameterNamesMustBeginWithLowerCaseLetter.cs b/StyleCop.Analyzers/StyleCop.Analyzers/NamingRules/SA1313ParameterNamesMustBeginWithLowerCaseLetter.cs
index e80324fc0..09017ef63 100644
--- a/StyleCop.Analyzers/StyleCop.Analyzers/NamingRules/SA1313ParameterNamesMustBeginWithLowerCaseLetter.cs
+++ b/StyleCop.Analyzers/StyleCop.Analyzers/NamingRules/SA1313ParameterNamesMustBeginWithLowerCaseLetter.cs
@@ -16,6 +16,9 @@ namespace StyleCop.Analyzers.NamingRules
     /// <remarks>
     /// <para>A violation of this rule occurs when the name of a parameter does not begin with a lower-case letter.</para>
     ///
+    /// <para>An exception to this rule is made for lambda parameters named <c>_</c>. These parameters are often used to
+    /// designate a placeholder parameter which is not actually used in the body of the lambda expression.</para>
+    ///
     /// <para>If the parameter name is intended to match the name of an item associated with Win32 or COM, and thus
     /// needs to begin with an upper-case letter, place the parameter within a special <c>NativeMethods</c> class. A
     /// <c>NativeMethods</c> class is any class which contains a name ending in <c>NativeMethods</c>, and is intended as
@@ -80,6 +83,11 @@ private static void HandleParameterSyntax(SyntaxNodeAnalysisContext context)
                 return;
             }
 
+            if (name == "_" && IsInLambda(syntax))
+            {
+                return;
+            }
+
             if (NameMatchesAbstraction(syntax, context.SemanticModel))
             {
                 return;
@@ -89,9 +97,31 @@ private static void HandleParameterSyntax(SyntaxNodeAnalysisContext context)
             context.ReportDiagnostic(Diagnostic.Create(Descriptor, identifier.GetLocation(), name));
         }
 
+        private static bool IsInLambda(ParameterSyntax syntax)
+        {
+            if (syntax.Parent.IsKind(SyntaxKind.SimpleLambdaExpression))
+            {
+                return true;
+            }
+
+            if (syntax.Parent.Parent.IsKind(SyntaxKind.ParenthesizedLambdaExpression)
+                || syntax.Parent.Parent.IsKind(SyntaxKind.AnonymousMethodExpression))
+            {
+                return true;
+            }
+
+            return false;
+        }
+
         private static bool NameMatchesAbstraction(ParameterSyntax syntax, SemanticModel semanticModel)
         {
-            var parameterList = (ParameterListSyntax)syntax.Parent;
+            var parameterList = syntax.Parent as ParameterListSyntax;
+            if (parameterList == null)
+            {
+                // This occurs for simple lambda expressions (without parentheses)
+                return false;
+            }
+
             var index = parameterList.Parameters.IndexOf(syntax);
             var declaringMember = syntax.Parent.Parent;
 
diff --git a/documentation/SA1313.md b/documentation/SA1313.md
index 11d0a5171..e6970f912 100644
--- a/documentation/SA1313.md
+++ b/documentation/SA1313.md
@@ -23,6 +23,9 @@ The name of a parameter in C# does not begin with a lower-case letter.
 
 A violation of this rule occurs when the name of a parameter does not begin with a lower-case letter.
 
+An exception to this rule is made for lambda parameters named `_`. These parameters are often used to designate a
+placeholder parameter which is not actually used in the body of the lambda expression.
+
 If the parameter name is intended to match the name of an item associated with Win32 or COM, and thus needs to begin
 with an upper-case letter, place the parameter within a special `NativeMethods` class. A `NativeMethods` class is any
 class which contains a name ending in `NativeMethods`, and is intended as a placeholder for Win32 or COM wrappers.