In this paper, the phonon properties and thermal conductivity of a new clathrate SrB3C3 are investigated by utilizing first principles calculations combined with phonon Boltzman transport equation. Through analyzing the intrinsic symmetry, four Raman active phonon modes (2T2g and 2Eg) are revealed in the phonon spectrum, and their corresponding vibrational features are presented as well. The lattice thermal conductivity of SrB3C3 at room temperature is calculated to be merely 8.69W/mK, which is evidently smaller than that of traditional Si-base...