In constructing infrastructure in urban area, rectangular pipes have been increasing gradually. Rectangular pipes are very efficient because effective cross-section area becomes larger, and maintenance of the lifeline becomes easier compare with circular pipes. And the influence to the neighbouring environment along with the formation of the city, thereis a tendency to shift from open cut method to trenchless technology. On the other hand, the main reason in applying small-scale infrastructure cutting edge jacking method is economic competitiveness. However, there are many problems with this method. For example, we need to improve the ground all the way for the construction and we have much influence on the surrounding soil or on the surface since this method is the open shield type method. This paper shows the result of a numerical analysis of the influence on the ground surface and underground in case of pipe jacking rectangular pipes withclosed type machine, and examines the extent of the impact to the surrounding soil when compared to the circular pipe jacking which has many construction results.