Methods for implementing a backpressure mechanism in an asynchronous data transfer and source traffic control system include detecting when a bus user is experiencing congestion and preventing other bus users from sending cells over the bus. According to a first embodiment, if congestion is detected for two consecutive frames, the arbiter is inhibited from granting access to any bus user for one frame. According to a second embodiment, if congestion is detected during any frame, all the bus users are prevented from transmitting low priority traffic until congestion is absent for four consecutive frames. An apparatus for performing the methods is also disclosed.