In practice, feature information such as colors, textures, surface normals, etc. is necessary to represent 3D models besides geometry and topology information of triangle meshes. However, with the rapid improvement of 3D capture equipments, the accuracy of 3D models increases and results in the large volume of 3D data. Most traditional methods could not deal with the feature of mesh models such as boundary edges and textures during simplification. So, in order to decrease the data volume of 3D textured models in digital museum and retain significant feature synchronously, a new algorithm of texture-mesh based on triangle collapse is presented. By the concept of geometry and texture boundary, the original meshes are divided to boundary, corner, interior or colory triangles according to different boundary conditions. In this way, the quadric and error criterion is improved, and constraint strategies are adopted to preserve the feature of geometry boundaries and texture attributes during the simplification process. In addition, a method combining octree-based compression with progressive meshes is given to provide a continuous multi-resolution representation of 3D models. The proposed method is successfully applied to progressive transmission and presentation system of 3D models over the Internet.