In this paper,a traveling waveguide slot antenna with a narrow side slit in the Ku-band is designed.First of all,a single waveguide slot antenna is designed,with a gain of more than 23.69 dB,a beam width of 1.4° in the azimuth plane and an average of sidelobe less than-15 dB.After 64 identical antennas are used for the array,the gain is greater than 41.88 dB,the beam width is about 1.4°,and the sidelobe average is less than-13dB within 4%of the bandwidth.The simulation and test results show that the antenna can achieve high gain and low sidelobe in Ku-band,and the antenna design also has the advantage of good directivity and low profile.