This work presents the effect of fractal shapes on the patch antenna. It is a conventional rectangular patch antenna with dimension of 9.2 mm x 6.94 mm. It is implemented on FR-4 lossy substrate material with relative permittivity of εr = 4.3, thickness of 1.6 mm and loss tangent of 0.025. It is feed through a microstrip line with dimension of 6 mm x 3.11 mm. The overall dimension of the antenna is 35 mm x 30 mm x 1.6 mm. It operates over a frequency band from 8 GHz to 12 GHz with central frequency 10 GHz. Application of Pythagorean tree Sierpinski gasket, and Koch curve is to decrease the bandwidth and increase the gain of the designed antenna. The performance properties of the antenna such as resonant frequency, radiation pattern, and gain were examined by simulation. The design is implemented through CST microwave studio and measured through network analyser.