diff --git a/lib/jasmine-core/jasmine.js b/lib/jasmine-core/jasmine.js
index eeb857f1..a8c70600 100644
--- a/lib/jasmine-core/jasmine.js
+++ b/lib/jasmine-core/jasmine.js
@@ -1157,12 +1157,21 @@ getJasmineRequireObj().Env = function(j$) {
       // before it's set to detect load-time errors in browsers
       () => this.configuration()
     );
-    const installGlobalErrors = (function() {
+    const { installGlobalErrors, uninstallGlobalErrors } = (function() {
       let installed = false;
-      return function() {
-        if (!installed) {
-          globalErrors.install();
-          installed = true;
+
+      return {
+        installGlobalErrors() {
+          if (!installed) {
+            globalErrors.install();
+            installed = true;
+          }
+        },
+        uninstallGlobalErrors() {
+          if (installed) {
+            globalErrors.uninstall();
+            installed = false;
+          }
         }
       };
     })();
@@ -2086,9 +2095,7 @@ getJasmineRequireObj().Env = function(j$) {
     };
 
     this.cleanup_ = function() {
-      if (globalErrors) {
-        globalErrors.uninstall();
-      }
+      uninstallGlobalErrors();
     };
   }
 
diff --git a/spec/core/integration/GlobalErrorHandlingSpec.js b/spec/core/integration/GlobalErrorHandlingSpec.js
index c7367d5c..55e5ac47 100644
--- a/spec/core/integration/GlobalErrorHandlingSpec.js
+++ b/spec/core/integration/GlobalErrorHandlingSpec.js
@@ -1011,6 +1011,43 @@ describe('Global error handling (integration)', function() {
     });
   });
 
+  it('works when the suite is run multiple times', async function() {
+    const global = {
+      ...browserEventMethods(),
+      setTimeout: function(fn, delay) {
+        return setTimeout(fn, delay);
+      },
+      clearTimeout: function(fn, delay) {
+        clearTimeout(fn, delay);
+      },
+      queueMicrotask: function(fn) {
+        queueMicrotask(fn);
+      }
+    };
+    spyOn(jasmineUnderTest, 'getGlobal').and.returnValue(global);
+    env.cleanup_();
+    env = new jasmineUnderTest.Env();
+    env.configure({ autoCleanClosures: false });
+    const reporter = jasmine.createSpyObj('fakeReporter', ['specDone']);
+
+    env.addReporter(reporter);
+
+    env.it('fails', function(specDone) {
+      setTimeout(function() {
+        dispatchErrorEvent(global, 'error', { error: 'fail' });
+        specDone();
+      });
+    });
+
+    await env.execute();
+    reporter.specDone.calls.reset();
+    await env.execute();
+
+    expect(reporter.specDone).toHaveFailedExpectationsForRunnable('fails', [
+      'fail thrown'
+    ]);
+  });
+
   describe('#spyOnGlobalErrorsAsync', function() {
     const leftInstalledMessage =
       'Global error spy was not uninstalled. ' +
diff --git a/src/core/Env.js b/src/core/Env.js
index be7a24be..6842bbca 100644
--- a/src/core/Env.js
+++ b/src/core/Env.js
@@ -31,12 +31,21 @@ getJasmineRequireObj().Env = function(j$) {
       // before it's set to detect load-time errors in browsers
       () => this.configuration()
     );
-    const installGlobalErrors = (function() {
+    const { installGlobalErrors, uninstallGlobalErrors } = (function() {
       let installed = false;
-      return function() {
-        if (!installed) {
-          globalErrors.install();
-          installed = true;
+
+      return {
+        installGlobalErrors() {
+          if (!installed) {
+            globalErrors.install();
+            installed = true;
+          }
+        },
+        uninstallGlobalErrors() {
+          if (installed) {
+            globalErrors.uninstall();
+            installed = false;
+          }
         }
       };
     })();
@@ -960,9 +969,7 @@ getJasmineRequireObj().Env = function(j$) {
     };
 
     this.cleanup_ = function() {
-      if (globalErrors) {
-        globalErrors.uninstall();
-      }
+      uninstallGlobalErrors();
     };
   }