The invention relates to an elevator (100). The elevator is provided with a car (106) ascending and descending in a shaftway (102) and a speed limiter including a speed limiter rope (142) and a tensioning device (144). The tensioning device comprises a tensioning wheel (202) carried on a droop bent portion (142a) of the speed limiter rope, a heavy block frame (204) suspended on a rotary shaft (202a) of the tensioning wheel, guide rails (210) longitudinally arranged in the shaftway and used for limiting the motion direction of the heavy block frame, electromagnets (214) fixed to the guide railsand located above the heavy block frame and a preparatory heavy block (212) usually attracted by the electromagnets to be suspended above the heavy block frame. When the stop position of the car is the resonance position, the car leaves the electromagnets stopping attraction and falls to the heavy block frame, tension of the speed limiter rope is increased, and therefore the stop position of thecar becomes the non-resonance position.