Here is the step by step guide to disable it:
1. Make sure that your smartphone is running on Android 2.1 or a newer version.
2. Go to Settings and enable 'Download from Unknown Sources' in the Security tab.
3. Later, go to WhatsApp’s website and download the APK file.
4. Once the APK file downloaded, Install the app to your phone.
5. Once installed, open WhatsApp and go to ‘Settings’.
6. Go to Account and click on Privacy. Under the Privacy tab, uncheck the Read Receipts option. It will disable the blue ticks in your messages.
7. Done.
WhatsApp's APK Link - http://www.whatsapp.com/android/
Note: This update is not yet available on Google Play Store for android. and also the update is not available for iOS and Windows yet.