Error Message : The Operation cannot be performed ,because the desktop is invisible .

Hi - I'm not sure how to specifically solve your issue - but if you google the subject of needing a desktop available for GUI automation tests in general (this isn't a TestComplete/TestExecute specific issue), you should find some ideas.   Essentially, the user running the TestExecute process need a desktop available to it for the automation to work.  As I said in my previous post, the way I do that is to have an RDP window open onto the machine where TestExecute is running.