A key challenge to most conventional clustering algorithms in handling many real life problems is that data points in different clusters are often correlated with different subsets of features. To address this problem, subspace clustering has attracted increasing attention in recent years. However, the existing subspace clustering methods cannot be effectively applied to large-scale high dimensional data and data streams. In this study, the scalable clustering technique to subspace clustering is extend to form soft subspace clustering for streaming data. An entropy-weighting streaming subspace clustering algorithm, EWSSC is proposed. This method leverages on the effectiveness of fuzzy scalable clustering method for streaming data by revealing the important local subspace characteristics of high dimensional data. Substantial experimental results on both artificial and real-world datasets demonstrate that EWSSC is generally effective in clustering high dimensional streaming data.