Due to the influence of the hardware and environment of optoelectronic measuring equipments, the collected infrared images generally have problems of low contrast and big noise. Thus, an infrared image enhancement method based on non-uniform ordered histogram and sharpening is proposed. Considering the characteristics of high dynamic range infrared images, the method is divided into two parts. Firstly, image contrast is enhanced by introducing a non-uniform distribution that increases at a constant slope in the ordered histogram domain. The non-uniform distribution histogram and the ordered histogram of the input image are merged into the optimization problem to calculate the corrected histogram. Secondly, in order to effectively deal with the blur effect of infrared image, a relative edge intensity index for high frequency compensation filtering is proposed to effectively suppress the noise in the relatively uniform region. The experimental results show that compared with various traditional algorithms and other similar algorithms, the enhanced image details of the proposed method are rich, with better visual effects and practical application value.