A transmission includes a torque converter including a pump and a turbine, and an input hub. A pump lock-up clutch selectively connects the pump and the input hub for directly communicating torque therebetween when the lock-up clutch is engaged. A first pump damper interconnects the pump lock-up clutch and the input hub for damping torsional vibration between the pump and the input hub when the pump-lock up clutch is engaged. A turbine damper interconnects the turbine and either the pump or the input hub. The turbine damper is operable to dampen torsional vibration between the turbine and ether the pump or the input hub when the pump lock-up clutch is engaged. A turbine lock-up clutch selectively connects the turbine and either the input hub or the pump for directly communicating torque between the turbine and the one of either the input hub or the pump.