Monte Carlo simulations are performed to study the electromechanical properties of polyvinylidene difluoride (PVDF) because of its unusual deformation in response to an applied electric field. PVDF is a ferroelectric polymer characterized by a negative strain along the applied electric field direction. However, the mechanism of this electromechanical response remains unclear due to the complex nature arising from the hierarchical structure across length scales. In this paper by employing the Finsler geometry (FG) model as a new approach to this problem, we show that the deformations observed in the 3D tetrahedral model are almost identical to those of real PVDF. More precisely, the simulated mechanical deformation and polarization, which are the responses to the electric field, are almost exactly the same as those in real experiments.