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Streamline is one of the most commonly used visualization methods to describe flow field data. With the increase in data scale, the accurate storage of streamlines requires a large amount of storage space. How to store streamlines efficiently is an urgent problem to be solved. Streamline compression is an effective solution. To improve the compression ratio, a compression method with the consideration of the topological relation of the streamlines is proposed in this paper. First, we use a well-designed B-spline curve fitting method to fit the streamlines, during which an intersection test is performed to preserve the topological relation of the streamlines. Then, a lossless compression algorithm is used to compress the fitted streamlines. The experiment illustrates that compared with the existing method, our method can achieve a higher compression ratio, strictly control the compression error and maintain the topological relation of the streamlines. [ABSTRACT FROM AUTHOR]