Postbuckling behavior of laminated skew plates while compressing and shearing is analyzed. The plan view of plate is a parallelogram with different boundary conditions along the contour, which is loaded by compressive and transverse shearing forces. While analysis of the postbuckling behavior of a plate the surface shape has been taken equal to first own mode of buckling. Displacements in each point of the considered area have been computed with the use of the well-known finite difference method. Load-carrying capacity of the composite plate has been calculated with the use of the Tsai-Wu criterion.