Abstract: It is presented the development of a model for predicting average minor stream delay at an unsignalized intersection which major road has two lanes,each of which has stream whose headway distributions are Cowan’s M3 distributions.It is assumed that the minor stream cross major stream under absolute priority gap acceptance theory.Minor stream is assumed to arrive at a Poisson process.Joint probability density function of headway for major lanes was derived.The queue in the minor street was characterized as an M/G/1 queue.A new model was developed using queue theory.The method is applicable to intersections with more than two lanes at its major road with little adjustment.