This paper describes about the design of a smooth multi-flared conical horn antenna which can operate at multi-frequency bands. This work has been carried out at National Atmospheric Research Laboratory (NARL), Gadanki, India, as a part of development of satellite earth station. It is designed to operate for some selected free to air meteorological satellites, which are operating in L-band (1.694-1.703GHz), S-band (2.0-2.06GHz), C-band (4.5-4.6GHz) and X-band (7.8-7.9GHz). The simulated results of horn alone and horn including 4-meter parabolic reflector are shown. After including reflector with horn we have achieved Gain > 30dB, Beamwidth around 2-3 degrees, VSWR < 1.5dB and Return-loss < -15dB for the desired range of frequencies. © 2016 IEEE.