In this paper, a simple method for designing a circular polarized antenna using chiral metamaterial is presented. The antenna proposed in this paper consists of conventional linear polarized Rectangular Microstrip Patch Antenna (RMPA) and cover of bilayer twisted cross wire Chiral Metamaterial (CM). The placement of CM cover over the linearly polarized RMPA changes its polarization from linear to circular and the antenna produces a left handed circularly polarized wave at resonant frequency of 6.24GHz with axial ratio of 0.46 dB. Investigation of performance parameter of proposed antenna and parameters of unit cell of CM is also presented in the paper.