Beam structures are used in industrial field included steel structures, cables and so on. Therefore, importance of contact modeling between beams is increasing. However, contact analysis between beams is limited in circular cross-section, so 3D solid elements are used in many beam-to-beam contact cases. In this thesis, the contact modeling between arbitrary cross-sections is suggested by using the beam element with arbitrary cross-sections. The point-to-point contact is modified according to the beam element with arbitrary cross-sections. The validation of contact modeling is performed by reference of existing paper and results of commercial software.