Providing a zoom lens system having a vibration reduction function capable of performing quick focusing with excellent optical performance even upon vibration reduction. The system including, in order from an object, a first lens group G1 having positive refractive power, a second lens group G2 having negative refractive power, a third lens group G3 having positive refractive power, and a fourth lens group G4 having positive refractive power. Upon zooming from a wide-angle end state to a telephoto end state, a distance between the first lens group G1 and the second lens group G2 varies, and a distance between the second lens group G2 and the third lens group G3 varies. The third lens group G3 carries out focusing from an infinity object to a close object. At least a portion of the fourth lens group G4 moves in a direction perpendicular to the optical axis.