A torsional damping device (110) includes a movable torque input element (130, 140), a movable torque output element (150), at least one phasing member (320,340) and at least one group of elastic members (250, 260) mounted between the torque input element and torque output element. The at least one group of elastic members acts against rotation of the torque input element and the torque output element with respect to one another. The elastic members of the at least one group of elastic members are arranged in series by the at least one phasing member (320, 340) so that the elastic members of the at least one group of elastic members deform in phase with one another. The torque input element having at least one stop member (620) limiting rotation of the torque input elememt relative to the output element and relative to the at least one phasing member.