The pipe-cutting machine developed in this study is a portable device used to cut a steel pipe. The machine, which is attached to the steel pipe by magnetic force, is moving around the pip e using four wheels. It also works for straight cutting of a steel plate. For the higher precision and labor time reduction, the automation of a pipe-cutting process is needed. However, it is not easily achieved because of vibrations and the loss of track. It is also found that the problems of the automation arise from the coupling of the functional requirements for the pipe-cutting machine. So, it is very difficult io solve the problems by a conventional design method. To overcome the difficulties the new design process for the pipe-cutting machine is established by axiomatic approach in this paper. Based on the Independence Axiom design process, a new product is designed and manufactured. Finally, it is verified by experiments that the performance of the automatic pipe-cutting machine is improved