Geosynthetics are man-made materials used to increase the compression, and shear characteristics of soil. Geogrid-reinforced material is regarded as one of the most widely used soil reinforcements. Using finite element simulation, unreinforced and reinforced fine sand are modeled in 3-D, the load-carrying capacity is investigated for both unreinforced and geogrid-reinforced fine sand supporting a square footing with different sizes. The bearing capacity ratio (BCR) of geogrid-reinforced fine sand is influenced by the use of geogrid-layers with different axial stiffnesses (J). The influence of geogrid axial stiffness is evaluated using five investigated parameters: geogrid-layers number (N), vertical spacing (h/B), geogrid width/length (b/B), first geogrid-layer depth (u/B) and square footing size (B). The geogrid-reinforced fine sand with appropriate dimensions and proper geogrid-layers number has significantly increased the square footing bearing capacity. The load-bearing capacity of geogrid-reinforced fine sand increases with geogrid axial stiffness. For a square footing width of 2.0m, the bearing capacity ratio (BCR) is 1.45 and 2.13 when the geogrid axial stiffness increases from 250 kN/m to 500 kN/m and from 250 kN/m to 1000 kN/m, respectively. The most efficient and economical values of (u/B), (b/B), (h/B) and (N) are 0.30, 3.0, 0.15 and 3.0 for all values of geogrid axial stiffness, respectively.