NFL's Ahmad Bradshaw -- Convicted In Weed Case ... Banned From Driving!

It's a good thing Ahmad Bradshaw can afford Uber ... 'cause the NFL running back's driving privileges have been REVOKED after he was convicted in his weed possession case.

Bradshaw -- who played with the Indianapolis Colts last season -- was arrested for marijuana possession back in February after cops say they found a small amount of the green stuff in his car during a routine traffic stop in Ohio.

Now, officials say Bradshaw cut a plea deal with prosecutors in which he agreed to plead no contest -- and in exchange he can't drive for 6 months and must pay around $351 in fines and other court costs.