A numerical model for dynamic soil-raft foundation interaction was developed by using the thin layered element method, and the dynamic response of irregularly shaped raft foundation subjected to inclined SH wave excitation was studied. L-shaped foundations and C-shaped foundations were considered. The results have shown that, when subjected to a non-vertically incident SH wave, with the increase of frequency as well as the increase of incident angle, the horizontal response decreases in a certain frequency range. And the torsional response is also generated. The irregularity of raft foundation has a great effect on the horizontal response. The trends are different in L-shaped foundations and C-shaped foundations, due to the different positions of the hole. The effects of the irregularity of raft foundation on the torsional response are very little in low-frequency region, but are great for the C-shaped foundations in high-frequency region.