diff --git a/CHANGELOG.md b/CHANGELOG.md
index e7ff5c291841..865d3a5fca39 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -7,6 +7,7 @@
 
 ### Fixes
 
+- `[jest-cli]` Add check to make sure one or more tests have run before notifying when using `--notify` ([#6495](https://github.com/facebook/jest/pull/6495))
 - `[jest-cli]` Pass `globalConfig` as a parameter to `globalSetup` and `globalTeardown` functions ([#6486](https://github.com/facebook/jest/pull/6486))
 - `[jest-config]` Add missing options to the `defaults` object ([#6428](https://github.com/facebook/jest/pull/6428))
 - `[expect]` Using symbolic property names in arrays no longer causes the `toEqual` matcher to fail ([#6391](https://github.com/facebook/jest/pull/6391))
diff --git a/packages/jest-cli/src/__tests__/__snapshots__/notify_reporter.test.js.snap b/packages/jest-cli/src/__tests__/__snapshots__/notify_reporter.test.js.snap
index 30a010dcd5ef..5235644f80da 100644
--- a/packages/jest-cli/src/__tests__/__snapshots__/notify_reporter.test.js.snap
+++ b/packages/jest-cli/src/__tests__/__snapshots__/notify_reporter.test.js.snap
@@ -31,10 +31,6 @@ Array [
 
 exports[`test change 1`] = `
 Array [
-  Object {
-    "message": "3 tests passed",
-    "title": "100% Passed",
-  },
   Object {
     "message": "3 of 3 tests failed",
     "title": "100% Failed",
@@ -52,10 +48,6 @@ Array [
 
 exports[`test failure-change 1`] = `
 Array [
-  Object {
-    "message": "3 tests passed",
-    "title": "100% Passed",
-  },
   Object {
     "message": "3 of 3 tests failed",
     "title": "100% Failed",
diff --git a/packages/jest-cli/src/__tests__/notify_reporter.test.js b/packages/jest-cli/src/__tests__/notify_reporter.test.js
index 442815a197b4..c5073d28e3f2 100644
--- a/packages/jest-cli/src/__tests__/notify_reporter.test.js
+++ b/packages/jest-cli/src/__tests__/notify_reporter.test.js
@@ -45,8 +45,21 @@ const aggregatedResultsFailure: AggregatedResult = {
   success: false,
 };
 
+const aggregatedResultsNoTests: AggregatedResult = {
+  numFailedTestSuites: 0,
+  numFailedTests: 0,
+  numPassedTestSuites: 0,
+  numPassedTests: 0,
+  numPendingTestSuites: 0,
+  numPendingTests: 0,
+  numRuntimeErrorTestSuites: 0,
+  numTotalTestSuites: 0,
+  numTotalTests: 0,
+};
+
 // Simulated sequence of events for NotifyReporter
 const notifyEvents = [
+  aggregatedResultsNoTests,
   aggregatedResultsSuccess,
   aggregatedResultsFailure,
   aggregatedResultsSuccess,
@@ -84,6 +97,10 @@ const testModes = (notifyMode: string, arl: Array<AggregatedResult>) => {
     );
     previousContext = newContext;
     reporter.onRunComplete(new Set(), ar);
+
+    if (ar.numTotalTests === 0) {
+      expect(notify.notify).not.toHaveBeenCalled();
+    }
   });
 
   expect(
diff --git a/packages/jest-cli/src/reporters/notify_reporter.js b/packages/jest-cli/src/reporters/notify_reporter.js
index 91d7df636c83..c63e4eb06c44 100644
--- a/packages/jest-cli/src/reporters/notify_reporter.js
+++ b/packages/jest-cli/src/reporters/notify_reporter.js
@@ -44,7 +44,10 @@ export default class NotifyReporter extends BaseReporter {
     const notifyMode = this._globalConfig.notifyMode;
     const statusChanged =
       this._context.previousSuccess !== success || this._context.firstRun;
+    const testsHaveRun = result.numTotalTests !== 0;
+
     if (
+      testsHaveRun &&
       success &&
       (notifyMode === 'always' ||
         notifyMode === 'success' ||
@@ -60,6 +63,7 @@ export default class NotifyReporter extends BaseReporter {
 
       notifier.notify({icon, message, title});
     } else if (
+      testsHaveRun &&
       !success &&
       (notifyMode === 'always' ||
         notifyMode === 'failure' ||