The quincunx elastic coupling (national standard GB5272-85) uses a drum-shaped quincunx-shaped elastic body to be placed between the two half-coupling claws to realize the elastic connection of the two half-couplings.When the coupling is working, the drum-shaped elastic petals embedded between the driving and driven pawls in the direction of rotation can fully contact the paws of the half-coupling, which compensates for the deviation of the elastomer petal pitch and the convexity of the half-coupling. The claw distance error of the claws makes the elastic body and the coupling uniformly stressed, which improves the load-bearing capacity of the coupling. At the same time, since the cross section of the elastic flap is drum-shaped, the angular displacement compensation of the coupled shaft is greatly improved.