The requirements for a feed suitable for a radio telescope multi-beam focal plane array are considered. A smooth-walled spline-profile horn covering the 30-38 GHz frequency band to be used in a multi-beam receiving array of a radio telescope has been optimized, manufactured and tested. The achieved cross-section aperture size of the horn allows us to provide a neighboring beam spacing equal or less than 2HPBW for the RATAN-600 radio telescope. The measured sidelobe levels of the radiation pattern is less than−30dB/−24dB/−26dB in H/E/45 0 -planes, cross-polarization levels better than−20 dB, an input return loss better than −18 dB and the −3dB/−10dB-beamwidths are of the order of 40º/ 80º over the frequency band. Mutual-coupling of adjacent horns is less than−38 dB.