In a separate window, select your Mac's hard drive.Click on Finder and highlight the external hard drive.Connect your external hard drive to your computer using a USB cable.Step 2: Move your iTunes Library to an external hard drive This process makes a copy of all files in the iTunes media folder and leaves the original files in their current location. Tick the box for Consolidate Files in the window that appears.Select Organize Library from the secondary menu.
Even if you think your library has all your information consolidated already, it can't hurt to do a manual check before moving any data. To ensure that you copy everything from iTunes over to an external hard drive, you should first consolidate your library.
Over time, it's easy for your music, movies, apps, and other iTunes content to end up stored in various places throughout your computer's hard drive.