Seismic response of cylindrical lattice shell roofs with supporting substructures is known to be amplified in vertical direction even under horizontal input, and their amplitude changes along the direction of earthquake motion. However, the seismic response behavior under the inputs in arbitrary direction has not been sufficiently investigated. In this paper, seismic vibration tests are carried out using small scale models with supporting substructure in order to make clear the effects of difference of input direction and relationship between mechanical properties of roofs and substructures on response behavior of shell roofs. It is confirmed that the simple response evaluation methods proposed in previous papers apply to the responses subjected to earthquake motions with arbitrary direction.