Based on Gross-Pitaevskii equation, we studied numerically ground-state density distribution of Bose-Einstein condensates trapped in a combined potential of a spin-dependent optical lattice potential and an infinite deep potential. We discuss specifically the influence of propagation directions and the ratio of wave numbers (l) of the two lasers, which produce the spin-dependent optical lattice on the ground-state of the Bose-Einstein condensate. As the wave number is small, two beams of light spread forward to each other. The two components exhibit continuous stripes with l < 2. And with l≥2 both components show discontinuous stripes. As the two beams of light propagate vertically, with the increase of l, component 1 changes gradually from continuous to discontinuous stripes, and component 2 behaves oppositely. The number of ground state density fringes increases with the increase of wave number, while the number of vortices remains unchanged.