Due to the factors such as inconsistent response between detection elements, changes in electronic gain and offset, and focal plane contamination and damage, the images obtained by a push-broom thermal infrared imaging spectrometer often exhibit the phenomena of non-uniformity between image columns and severe strip noise. This may affect the subsequent processing and application of thermal infrared hyperspectral remote sensing images. According to the source and cause of non-uniformity of the push-broom imaging spectrometer, a non-uniformity correction method for thermal infrared hyperspectral remote sensing images is proposed on the basis of correlation of adjacent columns. The steps are as follows: Firstly, standard moment matching correction is conducted for the original thermal infrared hyperspectral remote sensing image band by band to obtain a standard moment matching corrected image. Then, on basis of the standard moment matching corrected image, the pixels with same features in the adjacent two pixel columns are selected. Finally, by using the pixels with same feature in the two columns, the correction coefficient of the latter column is obtained though linear regression. The latter column is corrected and all columns in one band are sequentially traversed to complete the non-uniformity correction of one band image. According to this process, the non-uniformity correction of a thermal infrared hyperspectral remote sensing image is completed by traversing all bands of a thermal infrared hyperspectral remote sensing image. The method is applied to the non-uniformity correction of the image obtained by the push-broom thermal infrared spectroscopy imager. The results show that compared with the moment matching method, the average value and standard deviation of each column in the image corrected by the proposed method are more consistent with the actual situation if the non-uniformity correction effectiveness is ensured.