Background: The CPW fractal antenna has been designed with hexagonal-cut, square-cut, triangular-cut shaped geometries on a composite material of Fr4 as a substrate with ϵr=4.4 of relative permittivity and 1.6mm thickness. Methods/Statistical analysis: In this paper, a comparative analysis for three different shaped CPW fractal antennas designed based on iterative function systems of self-similarity structures. To improve the gain, Frequency Selective Surface (FSS) is used for the fractal antenna design. Findings: The gain comparison of CPW fractal antenna with and without FSS of two different structures for three proposed CPW fractal shaped antennae are investigated. After implementing with FSS gain of the three antennas has improved with 3dB. The simulation results of return loss and gain are observed using the HFSS software. Application: The resonant frequency for the designed CPW antenna is 5.8 GHz and it is useful for WiMAX application. © 2017 IEEE.