An arm coupling mechanism for selectively switching a double valve variable control and single valve variable control. The single valve variable control is achieved in a condition in which a large lift arm and a second rocking cam arm are coupled together with a pin. The second rocking cam arm for moving a second valve includes a pin hole, in which the pin is inserted, formed therein. The position of the pin hole is set so that a pin switching operation can be executed when control is provided to achieve an operating angle, at which the single valve variable control is to be started for reduced NOx. A second driving cam is adapted to have a cam height greater than a cam height of a first driving cam.