Considering flexoelectric polarization, the equilibrium equation and boundary condition for tilt angle are derived. The influence of flexoelectric polarization on cell with different anchoring for the two substrates (i.e. a non-symmetric cell) is investigated. We show that, the easy direction is changed by flexoelectric polarization. The planar anchoring cell may equivalent to hybrid aligned cell under certain conditions. The influence of flexoelectric polarization on the director distribution is simulated by numerical method.