Hyperspectral images (HSIs) are often corrupted by noise during the acquisition process, thus degrading the HSI's discriminative capability significantly. Therefore, HSI denoising becomes an essential preprocess step before application. This paper proposes a new HSI denoising approach connecting Partial Sum of Singular Values (PSSV) and superpixel segmentation named as SS-PSSV, which can remove the noise effectively. Based on the fact that there is a correlation between different bands of the same signal, it is easy to know the property of low rank. To this end, PSSV is utilized, and in order to better tap the low-rank attribute of samples, we introduce the superpixel segmentation method, which allows samples of the same type to be grouped in the same sub-block as much as possible. Extensive experiments display that the proposed algorithm outperforms the state-of-the-art.