The first four-color light curves of V868 Mon in the B V R _ { c } and I _ { c } bands are presented and analyzed by using the Wilson-Devinney method of the 2013 version . It is discovered that V868 Mon is an A-subtype contact binary ( f= 58.9 \% ) with a large temperature difference of 916 K between the two components . Using the eight new times of light minimum determined by the authors together with those collected from literatures , the authors found that the general trend of the observed-calculate ( O - C ) curve shows a upward parabolic variation that corresponds to a long-term increase in the orbital period at a rate of dP / dt = 9.38 \times { 10 ^ { -7 } } day \cdot year ^ { -1 } . The continuous increase may be caused by a mass transfer from the less massive component to the more massive one .