The design of the coupling is considered in detail, its possibilities for connecting misaligned shafts are indicated. The interaction of the spring turns with the teeth of the half-couplings is considered in detail. A scheme of deformation (exaggerated) of the coils during the transmission of torque is proposed, according to which a calculation model is selected to determine the torsional rigidity of the coupling and the strength of the coils. It is shown that during the operation of the coupling, the coils of the spring not only bend, but also twist, increasing the stiffness, while their strength is estimated by an equivalent voltage. Misalignment of the connected shafts, as well as an increase in the gap between the coupling halves, leads to a decrease in torsional rigidity and an increase in stresses in the spring turns.