A variable valve duration/variable valve lift system may include a camshaft, a first cam portion including a first cam, into which the camshaft is inserted and of which a relative phase angle of the first cam with respect to the camshaft is variable, an inner bracket transmitting rotation of the camshaft to the first cam portion, a slider housing into which the inner bracket is rotatably inserted, a first rocker arm having a first end contacting the first cam, a rocker shaft to which the first rocker arm is rotatably connected, a solenoid valve configured to selectively supply hydraulic pressure, a position controller configured to selectively change a position of the slider housing, a first bridge connected to a second end of the first rocker arm and to which a first valve is connected, and a valve lift disposed within the first bridge.