The self-deflection characteristics of bright screening-photovoltaic spatial solitons (SPSS) in biased two-photon photovoltaic photorefractive media were studied numerically. The results show that two-photon bright SPSS possesses a self-deflection process in the direction opposite to the crystal’s c axis during propagation and the center of the bright solitary beam moves on a parabolic trajectory. The self-deflection distance of the bright soliton increases, reaches its maximum value at a certain external electric field, and then decreases as the external electric field increases. The relation of self-deflection distance of bright solitons and incidence light intensity is also nonlinear, which is similar to that of external electric field. Moreover, the self-deflection of two-photon and single-photon models is compared at certain parameters.