In this paper, a flexible substrate liquid crystal polymer (LCP) is used to realize both 27GHz and 38GHz millimeter wave dual circularly polarized antennas. The antenna based on the L-shaped monopole antenna and single-fed coplanar waveguide structure is proposed to generate two mutually perpendicular components of the electric field and exhibit circular polarization. The additional I-type Stub is attached on the left side of the ground to provide the balance between both horizontal and vertical current distributions . Two rectangular elements are added to improve impedance matching and enhance the circular polarization within two designed passbands. Besides, the dual-band mm-wave filter is integrated with the antenna to suppress the noise. The entire structure is implemented on the single layer LCP substrate. The simulation results show that the first and second operation bands from 26.45-27.74 GHz and 36.73-38.48 GHz have greater than 10-dB return loss. The Axial Ratio (AR) bandwidth of less than 3-dB for both operation bands are 26.89-27.38GHz and 36.26-42.42GHz respectively. It is expected to be applied in the fifth generation of mobile communication equipment in the future.