The trispectrum is at least as important as the bispectrum and its size can be characterized by two parameters τ_NL and g_NL. In this short paper, we focus on the Multi-brid inflation, in particular the two-brid inflation model in arXiv.0805.0974, and find that τ_NL is always positive and roughly equals to [(6/5)f_NL]² for the low scale inflation, but g_NL can be negative or positive and its order of magnitude can be the same as that of τ_NL or even larger.