Abstract: In order to obtain the time-dependent behavior of one-dimensional two-photon screening-photovoltaic spatial solitons under low-amplitude conditions, the time-dependent behavior of one-dimensional two-photon screening-photovoltaic spatial solitons under low-amplitude conditions is presented theoretically. The time-dependent propagation equations of quasi-state bright and dark two-photon screening-photovoltaic solitons are obtained by numerical method. The results indicate that as time evolves, the intensity width of screening-photovoltaic spatial solitons decreases monotonously to a minimum value toward steady state. The higher the ratio of soliton peak intensity to the dark irradiation intensity is, the shorter the FWHM of photovoltaic solitons within propagation time will be.