Computer aided design applications and scientific visualization often need user -steered interactive display of very complex environments. Instead of rendering original complex models directly, multiple levels of detail (LoD) models are wi dely applied to graphics system at run time to achieve a great speedup. In this paper, a new BSP tree framework is presented that can incorporate dynamic LoD mo dels. This framework is designed for a multi-resolution model editing system. The tree construction algorithm and traversal routine for the multi-resolution BSP tree are discussed in detail.