As the helical axis of chiral nematic liquid is the optic axis, its spatial orientation affects the characteristics of the light propagation in liquid crystal directly. This paper studies on the influence of splay and bend deformation of chiral nematic liquid crystal on helical optic axis rotation angle and response time of flexoelectric effect by combining theoretical analysis and numerical simulation. Assuming chiral nematic liquid crystal molecules have a uniform rotation helix axis both in static equilibrium state and dynamic state and ignoring the dielectric anisotropy, the free energy densities of the two different states are calculated. The equilibrium equation and torque balance equation of the helical axis rotation angle are derived by using the Euler-Lagrange equations. The influences of the two deformation differences on helix axis tilt angle and response characteristics are discussed by numerical calculation. The results show that the difference of the two deformations makes both the helical axis rotation angle and the characteristic response time change. The bigger the difference is, the faster the change will be. The effects above can not be ignored. The results obtained in this paper provide a basis for rapid electro-optics response.