The passenger became ill on a purple route tram to Cathedral just before 7pm.
This caused the tram to be stood at the Arbourthorne Road tram stop to wait for an ambulance to be sent to the scene.
The ambulance arrived at around 7.05pm, a Stagecoach spokesman confirmed.
Further information on the passenger's condition is not yet known.
The tram being stood still caused delays and cancellation on both blue and purple routes.
A Stagecoach spokesman said they were working to 'reform' the scheduled services.