Removable connecting device of a wrist band (2a, 2b) to a component to which the wrist band is to be attached, in particular a watch case, this device comprising two complementary coupling members (3, 4) intended to be secured to the connection ends of said wrist band (2a, 2b) and to said component, respectively, device in which: - the first of said coupling members is configured to be movable according to a first transversal direction, laterally relatively to the longitudinal direction of the wrist band, and between two end positions, a first end position in which it is engaged with the second of said coupling members, and a second end position in which it is dissociated from this second coupling member, elastic return means of the device tending to keep said first coupling member in said first end position, - The first coupling member has a coupling element extending along a second transversal direction, different from said first transversal direction and relatively to said longitudinal direction of the wrist band, and being bisected by a rod associated to a pusher member comprising a head, said coupling element being adapted to cooperate with a transverse housing of the second coupling member; and - the second coupling member comprises said transverse housing and a coupling element extending also in said second transversal direction, said coupling element being bisected by a passage for receiving said rod of the first coupling member during coupling of the two coupling members together, The device being characterized in that: - said coupling means (3, 4) have snap-fastening elements to permit causing the movement of said first coupling member against the pressure of said elastic return means, from its first to its second end position during the coming into engagement of the two coupling members (3, 4) in the longitudinal direction. - the first of said coupling members is configured to be movable according to a first transversal direction, laterally relatively to the longitudinal direction of the wrist band, and between two end positions, a first end position in which it is engaged with the second of said coupling members, and a second end position in which it is dissociated from this second coupling member, elastic return means of the device tending to keep said first coupling member in said first end position, - The first coupling member has a coupling element extending along a second transversal direction, different from said first transversal direction and relatively to said longitudinal direction of the wrist band, and being bisected by a rod associated to a pusher member comprising a head, said coupling element being adapted to cooperate with a transverse housing of the second coupling member; and - the second coupling member comprises said transverse housing and a coupling element extending also in said second transversal direction, said coupling element being bisected by a passage for receiving said rod of the first coupling member during coupling of the two coupling members together, - said coupling means (3, 4) have snap-fastening elements to permit causing the movement of said first coupling member against the pressure of said elastic return means, from its first to its second end position during the coming into engagement of the two coupling members (3, 4) in the longitudinal direction.