Internet is not needed to run CC programs, only for the initial download and uploading to the cloud. You probably have an issue with your software or the computer itself.
Your Creative Cloud desktop applications (such as Adobe Photoshop and Illustrator) are installed directly on your computer, so you won't need an ongoing Internet connection to use them on a daily basis.
An Internet connection is required the first time you install and license your desktop app's, but you can use the app's in offline mode with a valid software license. The desktop app's will attempt to validate your software licenses every 30 days.
For annual members, you can use the app's for up to 99 days in offline mode. Month-to-month members can use the software for up to 30 days in offline mode.