Can I join any branch of the U.S. Military if I have Cerebral palsy?

Unfortunately any neurological disorder can disqualify you from the military. You could just not mention it if it's not noticeable, but you could still get discharged later on. If you do mention it and it is mild, then what you do is present your medical information to the recruiter and MEPS (Military Entrance Processing Station) can get a waiver for it, but with cerebral palsy that may be unlikely. To be with the Marines you have to have a pretty flawless medical record, and that's almost the same with the Army. It doesn't hurt to ask a recruiter though, good luck!