A baby stroller includes a base and a suspension unit is connected to the base. The suspension unit has a movable rod which is movably connected to the suspension unit. A support frame is connected to the distal end of the movable rod and a seat or a bed is connected to the support frame. The suspension unit absorbs shocks and vibration transferred from the road. The distance between the seat or the bed and the base is adjusted by the movement of the movable rod. The seat or the bed can be rotated to face the user or to face front.