The cabbie, who was licensed in Wakefield, breached the Equality Act by not taking the customer, a council report said.
The driver, who has not been named by the local authority, admitted the offence at court in January.
He was ordered to pay the victim £100 in compensation and told to fork out £466.44 in costs following the incident, which took place last summer.
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He was also given a six month conditional discharge, meaning he will face no further punishment unless he commits a further offence before July.