The present invention provides to a rocker arm apparatus for cylinder deactivation with a new structure for increasing fuel efficiency in a gasoline engine.For this, the present invention provides a rocker arm apparatus for cylinder deactivation including: a rocker arm; a restoring spring supported at the bottom of a rear end portion of the rocker arm; a roller coupled to the rocker arm to be pressed by a cam; a pair of rocker shaft assemblies each including first and second rocker shafts, and a connecting rod integrally connecting the first and second rocker shafts; a pair of rocker shaft support members connected to the rocker arm by means of the first and second rocker shafts; and a transfer member for controlling the rocker shaft assembly.