This paper proposed a new tooth surface modeling method for beveloid gear based on the real cutter surface using two orthogonal variables. Then the analytical mesh model with and without misalignments were derived and solved to study the influences of geometry design parameters on contact behaviors for paralleled beveloid gear pair. Loaded tooth contact analysis is used to validate the proposed mesh model by using Abaqus Software and the error is under 5%. Results suggest that the increase of pressure, cone and helical angles enlarge the contact area for meshing without misalignments. The addendum coefficient has unsubstantial impacts on the contact behaviors. For meshing with axis error in horizontal direction, the growth of pressure angle, cone angle, helical angle and addendum coefficient improve the carrying capacity of single tooth. But the transmission error deteriorates with the increase of pressure, cone and helical angles. All three types of misalignments have little influence on the size of the contact ellipse. The growth of axis errors in horizontal and vertical directions significantly increase the transmission error, but the center distance error has a little influence on transmission precision.