PURPOSE: To provide a rubber coupling which improves shear distortion in the direction of rotation of an elastic coupling and compression distortion in axial the direction.

CONSTITUTION: In an elastic coupling which has a plural number of rotation direction flanges in the vertical direction for rotating shaft, an elastic body which exists between one rotation direction flange and the other rotation direction flange consists of a conical elastic body 1, a tip 9 of the conical elastic body is cut into conical trapezoid, and a head 8 of the conical trapezoid elastic body is reverse conical trapezoid.