Neglecting both the crystal loss and the diffusion effect, both the weak light intensity spatial screening photovoltaic (SP) bright solitons in the photovoltaic photorefractive crystal with an applied electric field and their evolution characteristrcs are discussed. The analytic expression for the spatial screening photovoltaic bright solitons obtained under the weak light intensity agrees well with the results obtained by the numerical calculation. This practice solves the previous problem that it is necessary to first solve the differential equation or the integral equation while numerically solving the dynamical evolution equation. The dynamical evolution of the spatial screening photovoltaic bright solitons under the condition of parameter mismatch is also discussed.