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The Square Kilometer Array will be the largest synthesis telescope in the world. Many countries including China are involved in developing the key technologies such as reflector antenna, phased array feed (PAF) and ultra wideband single pixel feed. Aiming at the phased array feed, this paper designs a phased array feed at the Ku band. Firstly, the dimension of the array is determined by the analysis of the focal field; next, a suitable array element is selected and the design parameters are optimized; then according to the requirements, the arrangement of the array is determined, taking the sensitivity as the standard; afterwards, the effect of the array element spacing on the sensitivity is simulated, and the array elements spacing which makes the sensitivity of the system optimal is selected. Finally, the simulation results are given.