HYDRUS2D/3D software was empolyed to estimate the hydraulic parameters of van Genuchten-Mualem model via inverse modeling using double-ring infiltrometer’ s data (within 3 different soil textures). Nine scenarios of inverse modeling (divided in three groups) were considered with different numbers (5, 4 and 3) of fitted hydraulic parameters for optimization. In the first group, simulation was carried out solely using cumulative infiltration data. As for the second group, cumulative infiltration data plus water content at h = − 330 cm (Field Capacity, FC) were taken as inputs. In the third group, cumulative infiltration data plus water contents at h = − 330 cm (FC) and h = − 15000 cm (Permanent Wilting Point, PWP) were simultaneously taken as predictors. The results indicated that by reducing the number of hydraulic parameters, involved in the optimization process, simulation error would be reduced and the accuracy of prediction of other soil hydraulic parameters enhanced. Including FC as an additional data was important to more accurately optimize/define soil hydraulic functions. So, the use of (Saturated hydraulic conductivity) Ks, (Shape parameter of soil water characteristic curve) n and (the parameter, inversely related to the air entry value) a, as predictor parameters and FC as additional data constituted the most appropriate scenario. RMSE(cm3), NRMSE, AIC, and R2 were respectively estimated 1259, 528. 2, 0. 0081 and 0. 9999 in Sandy Loam soil, 242, 79. 0, 0. 0059 and 0. 9988 in Loamy soil plus 298, 153. 6, 0. 0174 and 0. 9983 in Salty Clay soil. Taking into account PWP as additional data increased the simulation error in all the 3 soil textures.