We propose an incremental analysis method with a model considering compressive strain inclined to the grain and friction in a mortise-tenon joint with dowel to examine the hysteresis characteristics of the joint subjected to cyclic loading. We introduced a concept of apparent shear stiffness based on the Coulomb's friction into constitutive law. The analysis method can evaluate cyclic hysteresis characteristics of the joint with constitutive law based on material tests. We performed a bending test of a T-type specimen composed with a beam and a column, and confirmed validity of the proposed analysis method.