Try posting the issue here. Give full version details of InDesign, the OS and describe exactly what happens when you try and launch InDesign, for example, any error messages.
Also check the InDesign system requirements: System requirements for Adobe InDesign CC for Mac and Windows OS
In the meantime try resetting your InDesign prefences:
Close and relaunch InDesign, and IMMEDIATELY hold down Ctrl + Alt + Shift (Windows) or Cmd + Ctrl + Opt + Shift (Mac), and respond in the affirmative to the dialog asking if you really want to replace the preferences. You must be extremely fast on the keyboard (if you don’t see the confirmation prompt, you were too slow!)