Two sets of light curves in V R _ { c } I _ { c } bands for a newly discovered binary system UCAC4 436-062932 are obtained and analyzed using the Wilson-Devinney ( W-D ) code . The two sets of light curves get almost consistent results . The determined mass ratio is about q = 2.7 and the less massive component is nearly 250 K hotter than the more massive one . The solutions conclude that UCAC4 436-062932 is a W-subtype shallow contact ( with a contact degree of f = 20 \% ) binary system . Since the O ’ Connell effect appears on one set of the light curves , theories proposed to explain the effect are discussed . We assume that spot model may be the more plausible one to the O ’ Connell effect appeared on the asymmetric light curves of the binary system UCAC4 436-062932 . Therefore , we add a cool spot on the surface of the more massive star ( component with lower effective temperature ) and get a quite approving results for the light curve fitting . It will provide evidence to support the spot model in the explanatory mechanism of O ’ Connell effect .