The present study pertains to the modeling and analysis of combined footings resting on geosynthetic reinforced granular fill overlying stone column improved soft soil. The footing has been assumed to have finite bending stiffness. Granular fill layer below the footing has been idealized as Pasternak shear layer. The geosynthetic layer has been provided in between the granular fill layer and assumed as an elastic membrane. Stone columns and saturated soft soil have been represented by nonlinear Winkler springs and Kelvin - Voigt body respectively. Nonlinear behaviors of granular fill layer, stone columns and the soft soil have been considered by means of hyperbolic stress strain relationships. Results of a detailed parametric study have been presented, for a footing supporting typically five columns, in non-dimensional form in respect of deflection and bending moment in footing and mobilized tension in the geosynthetic layer. Influence of applied loads, flexural rigidity of footing, diameter and spacing of stone columns, ultimate resistance of soft soil, stone columns and granular fill layer, relative stiffness of stone column with respect to the surrounding soft soil and average degree of consolidation has been studied considering wide range of physically possible model parameters of soil - foundation system. The effect of inclusion of geosynthetic layer has also been studied. Geosynthetic layer has been found to significantly reduce the deflection of the footing and the same has also been quantified by means of parametric study.