diff --git a/rules/require-number-to-fixed-digits-argument.js b/rules/require-number-to-fixed-digits-argument.js
index 06d6e1755a..ea965118af 100644
--- a/rules/require-number-to-fixed-digits-argument.js
+++ b/rules/require-number-to-fixed-digits-argument.js
@@ -1,5 +1,5 @@
 'use strict';
-const {methodCallSelector} = require('./selectors/index.js');
+const {methodCallSelector, not} = require('./selectors/index.js');
 const {appendArgument} = require('./fix/index.js');
 
 const MESSAGE_ID = 'require-number-to-fixed-digits-argument';
@@ -7,10 +7,13 @@ const messages = {
 	[MESSAGE_ID]: 'Missing the digits argument.',
 };
 
-const mathToFixed = methodCallSelector({
-	method: 'toFixed',
-	argumentsLength: 0,
-});
+const mathToFixed = [
+	methodCallSelector({
+		method: 'toFixed',
+		argumentsLength: 0,
+	}),
+	not('[callee.object.type="NewExpression"]'),
+].join('');
 
 /** @param {import('eslint').Rule.RuleContext} context */
 const create = context => {
diff --git a/test/require-number-to-fixed-digits-argument.mjs b/test/require-number-to-fixed-digits-argument.mjs
index 6a1f490c6d..e9d31b898d 100644
--- a/test/require-number-to-fixed-digits-argument.mjs
+++ b/test/require-number-to-fixed-digits-argument.mjs
@@ -13,9 +13,17 @@ test.snapshot({
 		'number?.toFixed()',
 		'number.toFixed?.()',
 		'number.notToFixed();',
+
+		// `callee` is a `NewExpression`
+		'new BigNumber(1).toFixed()',
+		'new Number(1).toFixed()',
 	],
 	invalid: [
 		'const string = number.toFixed();',
 		'const string = number.toFixed( /* comment */ );',
+		'Number(1).toFixed()',
+
+		// False positive cases
+		'const bigNumber = new BigNumber(1); const string = bigNumber.toFixed();',
 	],
 });
diff --git a/test/snapshots/require-number-to-fixed-digits-argument.mjs.md b/test/snapshots/require-number-to-fixed-digits-argument.mjs.md
index 2841bc329e..bceac36b84 100644
--- a/test/snapshots/require-number-to-fixed-digits-argument.mjs.md
+++ b/test/snapshots/require-number-to-fixed-digits-argument.mjs.md
@@ -35,3 +35,35 @@ Generated by [AVA](https://avajs.dev).
     > 1 | const string = number.toFixed( /* comment */ );␊
         |                              ^^^^^^^^^^^^^^^^^ Missing the digits argument.␊
     `
+
+## Invalid #3
+      1 | Number(1).toFixed()
+
+> Output
+
+    `␊
+      1 | Number(1).toFixed(0)␊
+    `
+
+> Error 1/1
+
+    `␊
+    > 1 | Number(1).toFixed()␊
+        |                  ^^ Missing the digits argument.␊
+    `
+
+## Invalid #4
+      1 | const bigNumber = new BigNumber(1); const string = bigNumber.toFixed();
+
+> Output
+
+    `␊
+      1 | const bigNumber = new BigNumber(1); const string = bigNumber.toFixed(0);␊
+    `
+
+> Error 1/1
+
+    `␊
+    > 1 | const bigNumber = new BigNumber(1); const string = bigNumber.toFixed();␊
+        |                                                                     ^^ Missing the digits argument.␊
+    `
diff --git a/test/snapshots/require-number-to-fixed-digits-argument.mjs.snap b/test/snapshots/require-number-to-fixed-digits-argument.mjs.snap
index e106fc3623..e8d55c9800 100644
Binary files a/test/snapshots/require-number-to-fixed-digits-argument.mjs.snap and b/test/snapshots/require-number-to-fixed-digits-argument.mjs.snap differ