The bright-dark vector spatial solitons are predicted in biased photorefractive-photovoltaic crystals, which result from both the bulk photovoltaic effect and the spatially nonuniform screening of the external bias field. When the bulk photorefractive effect can be neglected, the physical system of these bright-dark vector solitons changes into that of bright-dark vector screening solitons, and these bright-dark vector solitons change into bright-dark vector screening solitons. When the external field is absent, the physical system of these bright-dark vector solitons predicts that of bright-dark vector photovoltaic solitons, and these bright-dark vector solitons predict bright-dark vector photovoltaic solitons. The stability of these bright-dark vector solitons is discussed using a beam propagation method. When σ>0 and (β+α-δ)>0, where σ is the parameter controlling the intensities of the two optical beams, α and δ are the parameters related to the photovoltaic constant, and β is the parameter related to external electric field, these bright-dark vector solitons are stable in the regime of (β+α-δ) being less than a certain value. When σ<0 and (β+α-δ)<0, these bright-dark vector solitons are also stable in the regime of (β+α-δ) being greater than a certain value.