Catadioptric omnidirectional view infrared imaging system has the advantage of large field of view in the field of safety monitoring. But current usual catadioptric omnidirectional view system with a conical surface mirror have the problem that the detection ranges under different vertical pitch angles are greatly different. The detection range of catadioptric omnidirectional view infrared imaging system is related with the target dimension, task criteria, and resolutions of azimuth and pitch angles. In this paper, the geometric mean of the resolutions of pitch and azimuth angles is set as a constant, which is considered as the condition of the constant detection range in the catadioptric omnidirectional view system. Then, the corresponding system design method is deduced. The data simulation results verify the realizability of the constant detection range system. What′s more, the results show that the proposed method not only obtains the same detection range under different vertical pitch angles, but also makes the detection ranges in most of the field of view range better than those in the traditional catadioptric omnidirectional view systems with conical surface mirror by reasonable parameter adjustment.