Connect your external hard drive to the computer and launch Disk Utility from the Applications:Utilities folder.
Select your device from the list on the left and click to display the Erase tab.
Select Mac OS Extended (Journaled, Encrypted) from the Format drop down.
Enter a Name for the encrypted volume you want to create and click the Erase button.
**Remember this procedure will erase the contents of your drive. So make sure you backup for continuing...
You will be asked to create a password for your new volume. Enter a strong password and click Erase.
Your drive will now be erased and the new encrypted volume will be created.
Congratulations! You should now have an encrypted external hard drive. If you disconnect the drive you will need to input your password before the external hard drive can be mounted again.