Unsupervised person re-identification (re-ID) remains a challenging task, where the classifier and feature representation could be easily misled by the noisy pseudo labels towards deteriorated over-fitting. In this paper, we propose a simple yet effective approach, termed Group Sampling, to alleviate the negative impact of noisy pseudo labels within unsupervised person re-ID models. The idea behind Group Sampling is that it can gather a group of samples from the same class in the same mini-batch, such that the model is trained upon group normalized samples while alleviating the effect of a single sample. Group sampling updates the pipeline of pseudo label generation by guaranteeing the samples to be better divided into the correct classes. Group Sampling regularizes classifier training and representation learning, leading to the statistical stability of feature representation in a progressive fashion. Qualitative and quantitative experiments on Market-1501, DukeMTMC-reID, and MSMT17 show that Grouping Sampling improves the state-of-the-arts by up to 2.2%~6.1%. Code is available at this https URL.