Deep learning, especially a discriminative model for image denoising, has shown great potential in removing complex spectral–spatial noise in hyperspectral images (HSI). For HSI denoising, it is crucial to extract more context information around each pixel and to predict each pixel according to the surrounding context. Therefore, the effective receptive field plays an important role when performing denoising task. Generally, an HSI denoising model can achieve better performance by reserving the correlation of adjacent spectral bands and extracting more pixel features in the spatial domain. In this paper, 3-D atrous denoising convolution neural network (3DADCNN) is proposed for HSI. The model extracts feature maps along both spatial and spectral dimensions and enlarges the receptive field without significantly increasing the number of network parameters. Simultaneously, the multibranch and multiscale structure is utilized to reduce training difficulty, lessen overfitting risk, and preserve details in texture. The proposed model can be applied to the corrupted image with a mixed type of photon and thermal noise. Experimental results of the quantitative and qualitative evaluation show that 3DADCNN outperforms state-of-the-art HSI denoising methods.