In recent years, the science of fr actal geometry has grown into a vast area of knowledge, with almost all branches of science and engineering gaining from the new insights it has provided. In this paper modified Sierpinski fr actal patch behavior has been presented and discussed. The antenna had a log periodic behavior, the log period being related to the self similarity scale factor of the antenna. These are simulated using IE3D and analyzed in order to obtain the better understanding of antenna fr actal behavior. In the Improved Design, to increase the radiating area, small triangles are drawn outside on three sides of each eq uilateral triangle. So total side length has been increased fr om 27mm to 45 mm. Now the total perimeter for improved design is 135 mm as it was for conventional antenna 81mm, keeping the antenna size same. The Sierpinski fr actal antenna with wide band behavior characteristics has been successfully designed and implemented. The proposed fr actal antenna has been designed with fifth iteration. The results exhibits the wide band characteristics in the range fr om 2.9 GHz to 4.1 GHz corresponds to 45.47% improvement in bandwidth as it is 36.37 % for the conventional antenna. The measured radiation of the proposed antenna is linearly polarized and stable throughout the band. The antenna has smooth VSWR characteristics in the band 2.95 GHz to 3.7 GHz. It has VSWR value i.e. 1.544 for improved design, as it was for conventional antenna 1.566 at 2.95 GHz. There is 2.2 % improvement in VSWR.