Offset-fed dish antennas are considered. Offset-fed dish antennas are widely used for DBS reception, the problem of offset-fed dish antenna has, however, received little attention because of its complicated and asymmetric geometry. A Fourier-transform technique and Physical Optics are employed to express the fields radiated from offset-fed reflector and feed horn aperture. The simultaneous equations are solved to obtain a solution in a fast convergent series, thus facilitating the numerical computation. For given parameters such as diameter of reflector, focal length, offset height of reflector center, exact solutions are derived. Since offset-fed dish antenna has an application as multi-beam antenna using multiple feed, a brief feasablity of dual beam antenna for Korea-SAT (116$^{circ}$E, EIRP 59 dBW) and Orion-SAT (139$^{circ}$E, EIRP 54 dBW) is given in Conclusion.