The present disclosure provides a variable valve duration/variable valve lift system including a camshaft in a first cam with a variable relative phase angle with respect to the camshaft, an inner bracket transmitting rotation of the camshaft, a slider housing, a first rocker arm of which a first end contacts the first cam, a rocker shaft connected to the first rocker arm on which hydraulic lines are formed, solenoid valves configured to selectively supply hydraulic pressure through the hydraulic lines, a position controller configured to selectively change a position of the slider housing according to supplied hydraulic pressure from the solenoid valves, a first bridge connected to a second end of the first rocker arm and to which a first valve is connected, and a first valve lift device disposed within the first bridge for changing valve lift of the first valve according to supplied hydraulic pressure from hydraulic lines.