Microstrip antennas basically consist of a radiating patch on one side of a dielectric substrate, which has a ground plane on the other side. The patch is generally made of conducting material such as copper and gold, so the patch is very thin. The different radiating patches may be square, rectangle, thin strip (dipole), circular, elliptical, triangle or any other configuration. The radiating element and the feed lines are usually photo etched on the dielectric substrate. A Microstrip patch antenna is a low-profile antenna it has a number of advantages over other antennas. The technique of subdividing a shape into smaller copies of itself, removing one or more copies, and continuing recursively can be extended to other shapes. For instance, subdividing an equilateral triangle into four equilateral triangles, removing the middle triangle, and recursing leads to the Sierpinski triangle. In three dimensions, a similar construction based on cubes produces the Sierpinski sponge and the Menger sponge. In this proposed work, a novel design fractal antenna design for a square patch antenna. This square patch antenna is used for operates at multiple frequencies between 1-12GHz.Fractal design technique is used because of its self-similar and space filling property. The area of the proposed antenna is to be reduced by using the square patch antenna. The dielectric of substrate is 4.4 that is FR4 substrate and thickness is 1.6mmThe radiation pattern, directivity, return loss, VSWR and Bandwidth of the proposed antenna are calculated by using the HFSS.13 software package.