A male device for coupling between a car door and a landing door in an elevator installation with sliding doors, the male device comprising a support attachable to an actuator of a cabin door in order to move together with the same and that has a male group mounted that is prepared for the mechanical coupling thereof to a female device connected to a landing door in order to produce the simultaneous movement of the car and landing doors, wherein - the support is coupled with a certain clearance between a first and a second end position A) and B) to a base attachable to a leaf of the aforementioned cabin door; - the male group can be lifted, extending towards the landing, with respect to the support thereof, the male group being able to adopt at least two end positions, the first being a standby position a), wherein the male group is retracted and does not couple to the female device, and the second being an operative position b), wherein the male element is extended and couples to the female device; and - the base has means configured to lift the male group towards the operative position b) thereof when there is a relative movement between the support and the base in the direction that arranges the support in the second end position B), and all this enables, upon adjusting the mounting of the male device such that the support adopts the first end position A) and the male group adopts the standby position a) thereof in a closed door condition, upon the actuator being moved in the direction that provides the opening of the car door in a first phase of said opening operation, the support to move with respect to the base until the support adopts the second end position B) thereof, the leaf of the door remaining stationary but the male group being lifted until it adopts the operative position b) thereof, and in a second phase of the opening operation when the support abuts against the base, the first pulls the second in movement, the leaf of the car door moving and the male group remaining in the operative position b) thereof, guaranteeing the coupling thereof to the female device with which it is paired, the male device being characterised in that the male group is mounted rotatably with respect to the support about a shaft, the base being configured and the mounting relationship between the base and the support being such that said shaft can be oriented parallel to the plane of the leaf of the door when the base is fixed thereto. - the support is coupled with a certain clearance between a first and a second end position A) and B) to a base attachable to a leaf of the aforementioned cabin door; - the male group can be lifted, extending towards the landing, with respect to the support thereof, the male group being able to adopt at least two end positions, the first being a standby position a), wherein the male group is retracted and does not couple to the female device, and the second being an operative position b), wherein the male element is extended and couples to the female device; and - the base has means configured to lift the male group towards the operative position b) thereof when there is a relative movement between the support and the base in the direction that arranges the support in the second end position B), and all this enables, upon adjusting the mounting of the male device such that the support adopts the first end position A) and the male group adopts the standby position a) thereof in a closed door condition, upon the actuator being moved in the direction that provides the opening of the car door in a first phase of said opening operation, the support to move with respect to the base until the support adopts the second end position B) thereof, the leaf of the door remaining stationary but the male group being lifted until it adopts the operative position b) thereof, and in a second phase of the opening operation when the support abuts against the base, the first pulls the second in movement, the leaf of the car door moving and the male group remaining in the operative position b) thereof, guaranteeing the coupling thereof to the female device with which it is paired, the male device being characterised in that the male group is mounted rotatably with respect to the support about a shaft, the base being configured and the mounting relationship between the base and the support being such that said shaft can be oriented parallel to the plane of the leaf of the door when the base is fixed thereto.