As more and more applications generate data streams, the research on data stream clustering analysis has received extensive attention. Grid-based clustering maps data streams into grid structures to form data summaries, and then clusters data summaries. This method usually has high efficiency, but each grid is processed independently, and the interaction between the grids is not considered, so the clustering quality needs to be improved. In this study, the coupling relationship between grids is considered rather than processed independently in the clustering process, and an algorithm for clustering data stream based on grid coupling is proposed. The proposed approach improves the quality of clusters as the coupling of the grid more accurately captures the correlation amongst the data. Experimental evaluations on synthetic and real data streams illustrate the superiority of the proposed approach compared with the state-of-the-arts approaches.