A stroller includes a wheeled stroller frame with a handle unit for pushing the stroller frame, and a seat member mounted on the stroller frame. The stroller frame has a pair of horizontal linking plates on two sides of the seat member. A shock absorbing device includes a frame unit disposed between the linking plates and mounted swingably on the linking plates, and a spring unit. The frame unit is movable relative to the linking plates in a first direction, wherein the frame unit swings forwardly and downwardly, and in a second direction, wherein the frame unit swings rearwardly and upwardly. The spring unit interconnects the frame unit and the linking plates and biases the frame unit in the second direction. The seat member has a seat portion with a bottom side that is provided with a mounting unit for mounting the seat member on the frame unit of the shock absorbing device.