A stationary bike including a stand, a seat and handlebar mounting frame mounted on the stand to hold a saddle and a handlebar at two opposite ends, a transmission gear box mounted in the stand, a crank and pedal assembly pedaled to drive the transmission gear box, and a damping resistance producing device for acting with the transmission gear box to produce a damping resistance upon pedaling of the crank and pedal assembly, wherein the seat and handlebar mounting frame is turned about a pivot on the stand and supported on a link and the transmission gear box is connected to the stand by a pivot such that the seat and handle bar mounting frame is alternatively oscillated up and down when the crank and pedal assembly is pedaled to drive the transmission gear box.