A hydrokinetic coupling device includes a lock-up clutch having at least one friction disc mounted such that it can slide axially with respect to a first rotary shaft, at least one first backing disc rotating as one with a secondary rotary shaft and a support ring to support the backing disc. The support ring has at least one axial groove circumferentially delineated by an upstream face and by a downstream face. A radial guide tooth of each backing disc is housed such that it can glide axially in the groove. Elastic preload elements are provided which are able to exert a preload torque to clamp the guide tooth of each braking disc circumferentially against one of either the upstream or downstream faces of the guide groove.