diff --git a/karma.conf.js b/karma.conf.js
index 785172061b..e9cad12e4c 100644
--- a/karma.conf.js
+++ b/karma.conf.js
@@ -123,6 +123,19 @@ module.exports = config => {
   cfg = addSauceTests(cfg, sauceConfig);
   cfg = chooseTestSuite(cfg, env.MOCHA_TEST);
 
+  // It would be very difficult to meaningfully apply trusted types to
+  // a requirejs environment, and would require changes to requirejs if so.
+  if (env.MOCHA_TEST !== 'requirejs') {
+    cfg.customHeaders = cfg.customHeaders || [];
+    // Test with native trusted types (in browsers that support them).
+    // https://w3c.github.io/webappsec-trusted-types/dist/spec/#introduction
+    cfg.customHeaders.push({
+      match: '.*',
+      name: 'Content-Security-Policy',
+      value: "require-trusted-types-for 'script';"
+    });
+  }
+
   // include sourcemap
   cfg = {
     ...cfg,
diff --git a/lib/browser/highlight-tags.js b/lib/browser/highlight-tags.js
index d98896e789..edabef8429 100644
--- a/lib/browser/highlight-tags.js
+++ b/lib/browser/highlight-tags.js
@@ -25,6 +25,22 @@ function highlight(js) {
     );
 }
 
+let highlightPolicy = {
+  createHTML: function(html) {
+    // The highlight function escapes its input.
+    return highlight(html);
+  }
+};
+if (
+  typeof window !== 'undefined' &&
+  typeof window.trustedTypes !== 'undefined'
+) {
+  highlightPolicy = window.trustedTypes.createPolicy(
+    'mocha-highlight-tags',
+    highlightPolicy
+  );
+}
+
 /**
  * Highlight the contents of tag `name`.
  *
@@ -34,6 +50,6 @@ function highlight(js) {
 module.exports = function highlightTags(name) {
   var code = document.getElementById('mocha').getElementsByTagName(name);
   for (var i = 0, len = code.length; i < len; ++i) {
-    code[i].innerHTML = highlight(code[i].innerHTML);
+    code[i].innerHTML = highlightPolicy.createHTML(code[i].innerHTML);
   }
 };
diff --git a/lib/reporters/html.js b/lib/reporters/html.js
index 70e8698407..610a968b79 100644
--- a/lib/reporters/html.js
+++ b/lib/reporters/html.js
@@ -313,6 +313,24 @@ function error(msg) {
   document.body.appendChild(fragment('<div id="mocha-error">%s</div>', msg));
 }
 
+let policy = {
+  createHTML: function(html) {
+    /**
+     * Note that this policy lets html through unchanged. This is potentially
+     * a security vulnerability if untrusted data is set to innerHTML, as it
+     * allows arbitrary code execution.
+     *
+     * Ideally this code would be refactored to not use .innerHTML, and this
+     * policy deleted, or this policy could return the html after it has been
+     * processed by a secure sanitization system like dompurify
+     */
+    return html;
+  }
+};
+if (typeof window !== 'undefined' && window.trustedTypes != null) {
+  policy = window.trustedTypes.createPolicy('mocha-html-reporter', policy);
+}
+
 /**
  * Return a DOM fragment from `html`.
  *
@@ -323,15 +341,17 @@ function fragment(html) {
   var div = document.createElement('div');
   var i = 1;
 
-  div.innerHTML = html.replace(/%([se])/g, function(_, type) {
-    switch (type) {
-      case 's':
-        return String(args[i++]);
-      case 'e':
-        return escape(args[i++]);
-      // no default
-    }
-  });
+  div.innerHTML = policy.createHTML(
+    html.replace(/%([se])/g, function(_, type) {
+      switch (type) {
+        case 's':
+          return String(args[i++]);
+        case 'e':
+          return escape(args[i++]);
+        // no default
+      }
+    })
+  );
 
   return div.firstChild;
 }
diff --git a/rollup.config.js b/rollup.config.js
index 4b4f3494e4..e11ff9fb17 100644
--- a/rollup.config.js
+++ b/rollup.config.js
@@ -3,6 +3,7 @@ import nodeResolve from '@rollup/plugin-node-resolve';
 import json from '@rollup/plugin-json';
 import builtins from 'rollup-plugin-node-builtins';
 import globals from 'rollup-plugin-node-globals';
+import * as fs from 'fs';
 
 import {babel} from '@rollup/plugin-babel';
 
@@ -11,6 +12,36 @@ import visualizer from 'rollup-plugin-visualizer';
 
 import pickFromPackageJson from './scripts/pick-from-package-json';
 
+/**
+ * A temporary plugin workaround for a globalThis polyfill.
+ *
+ * Older versions of regenerator-runtime use Function("return this")() to get
+ * the global `this` value when running in strict mode. This is not compatible
+ * with some content security policies, including trusted-types, which we
+ * test with in browsers that support it.
+ *
+ * Fortunately, all browsers that support trusted-types also support the global
+ * variable named `globalThis` for accessing the global `this` value. So
+ * whenever we would run `Function("return this")()` we can instead first look
+ * whether `globalThis` is defined, and if so, just use that.
+ *
+ * The latest version of regenerator-runtime does rely on calling Function
+ * to get globalThis, so we only need this plugin until the updated version
+ * has percolated through our dependency tree. We can try to remove it on
+ * 2021-01-01. This behavior is tested, so we can just remove the plugin
+ * from our array and try `npm test`. If the tests pass, this can be removed.
+ */
+const applyTemporaryCspPatchPlugin = {
+  writeBundle(options) {
+    let contents = fs.readFileSync(options.file, {encoding: 'utf8'});
+    contents = contents.replace(
+      /Function\("return this"\)\(\)/g,
+      `(typeof globalThis !== 'undefined' ? globalThis : Function("return this")())`
+    );
+    fs.writeFileSync(options.file, contents, {encoding: 'utf8'});
+  }
+};
+
 const config = {
   input: './browser-entry.js',
   output: {
@@ -47,7 +78,8 @@ const config = {
         ]
       ],
       babelHelpers: 'bundled'
-    })
+    }),
+    applyTemporaryCspPatchPlugin
   ],
   onwarn: (warning, warn) => {
     if (warning.code === 'CIRCULAR_DEPENDENCY') return;