A novel dual-band circularly polarized (CP) antenna is presented. The antenna is constituted by spiral elements and a dipole feeder. The spiral elements bent like a cross shape radiate circularly polarization in wide directions. By feeding the spiral elements through a dipole feeder, the presented antenna achieves radiating CP waves at two bands. The configuration and simulated characteristics of the antenna is presented. Simulation results show that the antenna radiates good CP waves at 1.93 GHz and 2.8 GHz. The 3 dB axial ratio (AR) bandwidths are 6 MHz and 70 MHz, respectively. The 3 dB AR beam-width is 80 degrees.