This paper aims at the completion of a CAM process for 2D and 3D woven fabrics by proposing a new approach for generating weaves. Unlike the other methods used in some of the textile CAD packages, the method suggested in this paper enables the automatic generation of 2D and 3D weaves represented by 2D-weave matrices. The 2D weaves are re-grouped into regular and irregular weaves, and all the regular weaves can be treated as one whereas the irregular 2D weaves and the 3D weaves are treated as individual types. When the parameters of a type of weave are specified, a 2D binary weave matrix will be generated automatically, which can be directly used as or be easily converted into a lifting plan. Such a lifting plan can then be loaded to a loom with an electronic shedding system for the CAM of woven fabrics.