Doctors call numbness, tingling, and/or burning in the hand after an accident "paresthesias".  This symptom can have a lot of different causes.  You should always tell your doctor about this type of problem.  However, if he or she has done a thorough neurological exam and it was normal, then you can probably relax.   This type of symptom is very common after a car accident.  Most of the time, it goes away in the first few weeks up to the first 2 months.  If it persists for longer than that, here are some possibilities: