A torque converter including a cover arranged to receive torque; an impeller including an impeller shell non-rotatably connected to the cover; a turbine in fluid communication with the impeller and including a turbine shell; a first clutch axially displaceable to engage the cover; a second clutch axially displaceable to engage the impeller shell; and, a vibration damper including: a first input component non-rotatably connected to a component of the first clutch; a second input component non-rotatably connected to a component of the second clutch; and, an output flange arranged to non-rotatably connect to an input shaft for a transmission. For a first lock-up mode, the first and second clutches are arranged to close to transmit torque from the cover to the first and second input components, respectively.