In order to solve the limitation of the long span arch structures, a numerical analysis was carried out to investigate the effects of embedded trench installation technique to the earth pressure of an underground arch-rib shaped structure. For the arch-rib shape, the parabolic curve and the circular shape were analyzed according to the span-rise ratio varying from 0.1 to 0.5. The finite element analysis program, ABAQUS (2016), was used to consider the soil - structure interaction. The results from the analysis was verified through comparison with the existing Geofoam application technique.