Abstract: This study suggested a new Two-Sided Fractional Percolation Equation (T-SFPE) with coefficients. The algorithm for the numerical solution for this equation is based on Finite Difference Method (FDM). Stability, consistency and convergence of the fractional order numerical method are discussed. The numerical method has been applied to solve practical numerical examples and comparing results with the exact solution. Numerical experiments illustrating the effectiveness of the theoretical analysis are provided.