Accurate modeling of photovoltaic (PV) module allows proper load scheduling and avoids the uncertainties in grid. This paper uses forward-backward linear least square error (FB-LLSE) curve fitting method to estimate the parameters of PV module. The proposed method does not require any data sheet information and initial values of parameters. The proposed method utilizes the experimental data on I-V curve to extract the parameters of PV module. To validate the proposed method, three different PV modules, namely, Mono-crystalline STM6-40/36, Poly-crystalline SMP6-120/36, PWP-201, and one Real Time Clock (R.T.C.) France solar cell has been considered. The obtained results are compared with three existing methods in the literature. The performance of the proposed FB-LLSE method is studied with root mean square error (RMSE), mean absolute error (MAE), normalized root mean square error