A compression elastic coupling comprising: a drive flange provided with a plurality of drive ribs circumferentially arranged at angular intervals; a driven flange coaxial with and spaced from the drive flange, the driven flange being provided with a plurality of driven ribs circumferentially arranged at angular intervals; and a plurality of rubber elements which are respectively interposed between the drive ribs and the driven ribs -so as to be compressed when power is transmitted, each said rubber element comprising: a pair of mounting plates attached respectively to a pair of rib surfaces of the drive rib and the driven rib which are spaced and opposed to each other; and an elastic member made of rubber, the elastic member being held between the pair of mounting plates which are spaced and opposed to each other, the elastic member being bonded to joining surfaces of the pair of mounting plates; wherein the pair of mounting plates are respectively provided with protrusions protruding toward each other in central areas of the joining surfaces, or central and lateral areas of the joining surfaces, and extending in a direction parallel to an axis about which the flanges (12,17) rotate; and characterised in that a threaded hole in which a fixing bolt is to be screwed is formed so as to extend through a central part of an outer surface of the mounting plate into the protrusion. a drive flange provided with a plurality of drive ribs circumferentially arranged at angular intervals; a driven flange coaxial with and spaced from the drive flange, the driven flange being provided with a plurality of driven ribs circumferentially arranged at angular intervals; and a plurality of rubber elements which are respectively interposed between the drive ribs and the driven ribs -so as to be compressed when power is transmitted, each said rubber element comprising: a pair of mounting plates attached respectively to a pair of rib surfaces of the drive rib and the driven rib which are spaced and opposed to each other; and an elastic member made of rubber, the elastic member being held between the pair of mounting plates which are spaced and opposed to each other, the elastic member being bonded to joining surfaces of the pair of mounting plates; wherein the pair of mounting plates are respectively provided with protrusions protruding toward each other in central areas of the joining surfaces, or central and lateral areas of the joining surfaces, and extending in a direction parallel to an axis about which the flanges (12,17) rotate; and characterised in that a threaded hole in which a fixing bolt is to be screwed is formed so as to extend through a central part of an outer surface of the mounting plate into the protrusion. a pair of mounting plates attached respectively to a pair of rib surfaces of the drive rib and the driven rib which are spaced and opposed to each other; and an elastic member made of rubber, the elastic member being held between the pair of mounting plates which are spaced and opposed to each other, the elastic member being bonded to joining surfaces of the pair of mounting plates; wherein the pair of mounting plates are respectively provided with protrusions protruding toward each other in central areas of the joining surfaces, or central and lateral areas of the joining surfaces, and extending in a direction parallel to an axis about which the flanges (12,17) rotate; and characterised in that a threaded hole in which a fixing bolt is to be screwed is formed so as to extend through a central part of an outer surface of the mounting plate into the protrusion.