To prevent the undesirable movement of a car body at sudden braking or sudden starting while keeping riding quality.

This suspension supports a knuckle 26 and a wheel W on a subframe 5, and supports the front end and the rear end of the subframe 5 on a main frame 6 through a front cylinder 7 and a rear cylinder 8 which are placed vertically, respectively. When the front cylinder 7 is contracted and driven, and the rear cylinder 8 is expanded and driven, the subframe 5 tilts to the rear and a locus angle of inclination which is an angle to be made by a moving locus of the center of the wheel W and road surface slope viewed from the side of a car body increases, accordingly, the shock to be input into the wheel W from irregularity on road surface is absorbed, which heightens riding quality. In contrast with this, when the locus angle of inclination is decreased, the undesirable movement of a car body to be caused by inertial force acting in the front and the rear direction of the car body at sudden braking or sudden starting of a car can be prevented.