diff --git a/__tests__/param-names.js b/__tests__/param-names.js
index 4d7b276e..f4a80599 100644
--- a/__tests__/param-names.js
+++ b/__tests__/param-names.js
@@ -8,7 +8,10 @@ const ruleTester = new RuleTester({
   },
 })
 
-const message = 'Promise constructor parameters must be named resolve, reject'
+const messageForResolve =
+  'Promise constructor parameters must be named to match "^_?resolve$"'
+const messageForReject =
+  'Promise constructor parameters must be named to match "^_?reject$"'
 
 ruleTester.run('param-names', rule, {
   valid: [
@@ -22,24 +25,42 @@ ruleTester.run('param-names', rule, {
     'new Promise((resolve, reject) => {})',
     'new Promise(() => {})',
     'new NonPromise()',
+    {
+      code: 'new Promise((yes, no) => {})',
+      options: [{ resolvePattern: '^yes$', rejectPattern: '^no$' }],
+    },
   ],
 
   invalid: [
     {
       code: 'new Promise(function(reject, resolve) {})',
-      errors: [{ message }],
+      errors: [{ message: messageForResolve }, { message: messageForReject }],
     },
     {
       code: 'new Promise(function(resolve, rej) {})',
-      errors: [{ message }],
+      errors: [{ message: messageForReject }],
     },
     {
       code: 'new Promise(yes => {})',
-      errors: [{ message }],
+      errors: [{ message: messageForResolve }],
     },
     {
       code: 'new Promise((yes, no) => {})',
-      errors: [{ message }],
+      errors: [{ message: messageForResolve }, { message: messageForReject }],
+    },
+    {
+      code: 'new Promise(function(resolve, reject) {})',
+      options: [{ resolvePattern: '^yes$', rejectPattern: '^no$' }],
+      errors: [
+        {
+          message:
+            'Promise constructor parameters must be named to match "^yes$"',
+        },
+        {
+          message:
+            'Promise constructor parameters must be named to match "^no$"',
+        },
+      ],
     },
   ],
 })
diff --git a/docs/rules/param-names.md b/docs/rules/param-names.md
index 0135d374..ca3ac05e 100644
--- a/docs/rules/param-names.md
+++ b/docs/rules/param-names.md
@@ -24,3 +24,17 @@ Promise constructor uses the
 [RevealingConstructor pattern](https://blog.domenic.me/the-revealing-constructor-pattern/).
 Using the same parameter names as the language specification makes code more
 uniform and easier to understand.
+
+#### Options
+
+##### `resolvePattern`
+
+You can pass a `{ resolvePattern: "^_?resolve$" }` as an option to this rule to
+the first argument name pattern that the rule allows. Default is
+`"^_?resolve$"`.
+
+##### `rejectPattern`
+
+You can pass a `{ rejectPattern: "^_?reject$" }` as an option to this rule to
+the second argument name pattern that the rule allows. Default is
+`"^_?reject$"`.
diff --git a/rules/param-names.js b/rules/param-names.js
index ab53a52e..ac01f9b1 100644
--- a/rules/param-names.js
+++ b/rules/param-names.js
@@ -8,9 +8,25 @@ module.exports = {
     docs: {
       url: getDocsUrl('param-names'),
     },
-    schema: [],
+    schema: [
+      {
+        type: 'object',
+        properties: {
+          resolvePattern: { type: 'string' },
+          rejectPattern: { type: 'string' },
+        },
+        additionalProperties: false,
+      },
+    ],
   },
   create(context) {
+    const options = context.options[0] || {}
+    const resolvePattern = new RegExp(
+      options.resolvePattern || '^_?resolve$',
+      'u'
+    )
+    const rejectPattern = new RegExp(options.rejectPattern || '^_?reject$', 'u')
+
     return {
       NewExpression(node) {
         if (node.callee.name === 'Promise' && node.arguments.length === 1) {
@@ -20,16 +36,26 @@ module.exports = {
             return
           }
 
-          if (
-            (params[0].name !== 'resolve' && params[0].name !== '_resolve') ||
-            (params[1] &&
-              params[1].name !== 'reject' &&
-              params[1].name !== '_reject')
-          ) {
+          const resolveParamName = params[0] && params[0].name
+          if (resolveParamName && !resolvePattern.test(resolveParamName)) {
+            context.report({
+              node: params[0],
+              message:
+                'Promise constructor parameters must be named to match "{{ resolvePattern }}"',
+              data: {
+                resolvePattern: resolvePattern.source,
+              },
+            })
+          }
+          const rejectParamName = params[1] && params[1].name
+          if (rejectParamName && !rejectPattern.test(rejectParamName)) {
             context.report({
-              node,
+              node: params[1],
               message:
-                'Promise constructor parameters must be named resolve, reject',
+                'Promise constructor parameters must be named to match "{{ rejectPattern }}"',
+              data: {
+                rejectPattern: rejectPattern.source,
+              },
             })
           }
         }