A relative displacement device with both slight push force and strong elastic pull force includes two displacement members displaceable relative to each other. The displacement members are respectively formed with two turning displacement paths, which turn from a relative displacement direction in different directions. During displacement travel of the displacement members, the turning displacement paths intersect each other at different points as elastic pull points. Each turning displacement path has two path terminals and a turning point. The displacement reference line of the path terminals of one turning displacement path coincides with the displacement reference line of the turning point of the other turning displacement path. A first end of an elastic member is slidably pivotally positioned at the elastic pull point as an elastic pull end, while a second end of the elastic member is pivotally fixed at a fixed point of one displacement member as a fixed end.