<p>Misalignment angle of crown gear coupling can lead to an uneven meshing force and tooth wear. To obtain the contact behavior of the crown gear coupling, this study develops an accurate finite element model by which the tooth contact and meshing force distribution are carefully studied. First, a new approach for constructing a mathematical model of the hub and sleeve is proposed. Second, an indicator of the load distribution coefficient (LDC) is given to characterize the meshing force distribution quantitatively. The effects of the misalignment angle, torque, and crown radius on the tooth contact, meshing force, number of teeth in contact, LDC, and stiffness are carefully discussed. The results indicate that the meshing force deviated in a cosine-like curve for one rotating cycle. A lower misalignment angle and crown radius, as well as a higher torque can result in a lower LDC.</p>