You're not speaking to Adobe. You're speaking to users like you. Please provide some information which will allow us to help you.
What version of InDesign? What happens when you try to open a document you say was created on the same computer? If there's an error message, what is it exactly?
CS5. it gives “problem report: indesign cs5 cannot be opened because of a problem. check with the developer to make sure indesign cs5 works with this version of os x.
be sure to install updates… all my software and operation system is fully updated.
Did you try to install CS5 on a new computer by copying or using migration? That won't work with Adobe applications.
You'll probably have to start by cleaning off the Adobe Creative Suite with the Adobe Cleaner Tool here:
Then download a clean install copy of CS5 here (unless you have the original discs you used to install):
With CS5 and Maverick you will have problems, you need to upgrade to a later version of InDesign.