Edge of high resolution infrared image is blurry after denoising with the denoing arithmetic based on wavelet.A new denoising method based on 2th generation curvelet and hierarchical adaptive threshold is proposed to preserve the edge better.The denoising threshold of curvelet coefficient is estimated separately by hierarchical adaptive threshold and the noising image is denoising with hard threshold related to the transform scale because most of energy of curvelet coefficients is concentrated in the low scale coefficients.The experiment results show that the proposed algorithm can obtain a better denoising performance than some arithmetic based on wavelet like VisuShrink,Penalized,sparsity-norm in all kinds of noise spectral density.The PSNR is up to 31.51 dB with the proposed algorithm when noise variance is 30.The images after denoisinig based on curvelet preserve their edge better and is better in visual effect;furthermore,the computational complexity of proposed algorithm decreases 70% compared to classic curvelet transform.