This paper proposes a high quality k-D tree constructing algorithm for interactive dynamic scene ray tracing. Combined with the fact that scene primitives were usually well distributed, a reasonable formula is derived from the basic k-D tree traversal cost function to represent the traversal cost for sequential positions in node. After dividing the bounding box of splitting node to uniform bin series, the best splitting position is directly computed by resolving the analytic solution of the cost formula. To guarantee superior rendering performance for different ray tracing applications, the study raised several sensible functions for sub-space number computing in different situations. Experimental results proved that this algorithm was suitable for scenes with various kinds of primitive distribution, and it can be used for full k-D tree construction. Great construction efficiency was obtained with the best splitting quality maintained.