Requirement of antenna is essential in communication to transfer signals for various application. Different frequency range like the WLAN, WiMax, Ku-band, K-band, Ka-band, etc. in the world of communication has its arrangement. Microwave and satellite communication need higher range of frequencies for operation. Here, we have modelled a multi-band micro strip antenna for Ka band (26.5GHz-40GHz). The modelled antenna is simulated in Computer Simulated Technology. We observed that VSWR of the proposed antenna is below 2dB in entire frequency range of 30.8 GHz to 39 GHz. The designed antenna is simulated and a return loss of -10db result is found out, which is in a range of 26.5GHz-40GHz.