diff --git a/doc/CustomRules.md b/doc/CustomRules.md
index e5ff9917..3b538d97 100644
--- a/doc/CustomRules.md
+++ b/doc/CustomRules.md
@@ -38,6 +38,7 @@ A rule is implemented as an `Object` with four required properties:
 - `tags` is an `Array` of `String` values that groups related rules for easier customization.
 - `function` is a synchronous `Function` that implements the rule and is passed two parameters:
   - `params` is an `Object` with properties that describe the content being analyzed:
+    - `name` is a `String` that identifies the input file/string.
     - `tokens` is an `Array` of [`markdown-it` `Token` objects](https://markdown-it.github.io/markdown-it/#Token) with added `line` and `lineNumber` properties.
     - `lines` is an `Array` of `String` values corresponding to the lines of the input file/string.
     - `frontMatterLines` is an `Array` of `String` values corresponding to any front matter (not present in `lines`).
@@ -73,6 +74,7 @@ Would create a `params` object like:
 
 ```json
 {
+  "name": "doc/example.md",
   "tokens": [
     {
       "type": "heading_open",
diff --git a/lib/markdownlint.js b/lib/markdownlint.js
index ccd52521..83b30062 100644
--- a/lib/markdownlint.js
+++ b/lib/markdownlint.js
@@ -283,7 +283,7 @@ function uniqueFilterForSortedErrors(value, index, array) {
 
 // Lints a single string
 function lintContent(
-  ruleList, content, config, frontMatter, noInlineConfig, resultVersion,
+  ruleList, name, content, config, frontMatter, noInlineConfig, resultVersion,
   callback) {
   // Remove UTF-8 byte order marker (if present)
   content = content.replace(/^\ufeff/, "");
@@ -304,9 +304,10 @@ function lintContent(
     effectiveConfig, aliasToRuleNames);
   // Create parameters for rules
   const params = {
-    "tokens": tokens,
-    "lines": lines,
-    "frontMatterLines": frontMatterLines
+    name,
+    tokens,
+    lines,
+    frontMatterLines
   };
   shared.makeTokenCache(params);
   // Function to run for each rule
@@ -411,7 +412,7 @@ function lintFile(
     if (err) {
       return callback(err);
     }
-    lintContent(ruleList, content, config, frontMatter, noInlineConfig,
+    lintContent(ruleList, file, content, config, frontMatter, noInlineConfig,
       resultVersion, callback);
   }
   // Make a/synchronous call to read file
@@ -465,6 +466,7 @@ function lintInput(options, synchronous, callback) {
       if ((item = stringsKeys.shift())) {
         lintContent(
           ruleList,
+          item,
           strings[item] || "",
           config,
           frontMatter,
diff --git a/test/markdownlint-test.js b/test/markdownlint-test.js
index 0ebe939c..92d67b56 100644
--- a/test/markdownlint-test.js
+++ b/test/markdownlint-test.js
@@ -2282,6 +2282,50 @@ module.exports.customRulesOnErrorLazy = function customRulesOnErrorLazy(test) {
   });
 };
 
+module.exports.customRulesFileName = function customRulesFileName(test) {
+  test.expect(2);
+  const options = {
+    "customRules": [
+      {
+        "names": [ "name" ],
+        "description": "description",
+        "tags": [ "tag" ],
+        "function": function stringName(params) {
+          test.equal(params.name, "doc/CustomRules.md", "Incorrect file name");
+        }
+      }
+    ],
+    "files": "doc/CustomRules.md"
+  };
+  markdownlint(options, function callback(err) {
+    test.ifError(err);
+    test.done();
+  });
+};
+
+module.exports.customRulesStringName = function customRulesStringName(test) {
+  test.expect(2);
+  const options = {
+    "customRules": [
+      {
+        "names": [ "name" ],
+        "description": "description",
+        "tags": [ "tag" ],
+        "function": function stringName(params) {
+          test.equal(params.name, "string", "Incorrect string name");
+        }
+      }
+    ],
+    "strings": {
+      "string": "# Heading"
+    }
+  };
+  markdownlint(options, function callback(err) {
+    test.ifError(err);
+    test.done();
+  });
+};
+
 module.exports.customRulesDoc = function customRulesDoc(test) {
   test.expect(2);
   markdownlint({