The electric-optical performance of a hometropic aligned liquid crystal light valve (LCLV) as the function of light valve parameters and operating conditions is simulated numerically. This simulation is based on the 4×4 matrix formalism which is the exact numerical solution of Maxwell′s equation. The effects of liquid crystal (LC) thickness, incident angle and the pretilt angle on the electric-optical performance of LCLV are discussed. Based on the Oseen and Frank′s continuum theory of nematic liquid crystal, and generalized torque balance equation at the interfaces, the director configuration and the electric-optical performance of a hometropic aligned liquid crystal light valve as the function of light valve parameters and operating conditions are calculated. The effects of anchoring strength of Nematic Liquid Crystal (NLC)-wall and the pretilt angle on the director configuration and then the electric-optical performance of LCLV are discussed.