A method of controlling the torque transferred across each clutches of a dual clutch transmission during a gear shift. The method includes the steps including determining when a shift has been commanded, sensing the speed of the driven member of the off-going clutch, determining the desired clutch torque and slip profile for the changeover of the clutches, and sensing the speed of the driven member of the on-coming clutch to determine a target engine speed profile. The method simultaneously controls the torque transfer across each clutch by linearly decreasing the torque transferred across the off-going clutch while linearly increasing the torque transferred across the on-coming clutch in an inversely proportional rate. Finally, the pressure applied to the on-coming clutch is varied, to cause the engine to continue to track the target engine speed profile so that vehicle speed is maintained.