Title: Note on Chow rings of nontrivial G-torsors over a field. Author: Nobuaki Yagita Author's e-mail address: yagita@mx.ibaraki.ac.jp Abstract: Let G(k) be a split reductive group over a field k corresponding to a compact Lie group G. Let E be a nontrivial G(k)-torsor over a field k. In this paper we study the Chow ring of nontrivial G(k)-torsors E. For example when (G,p)=(F_4,3), we see that the positive degree of the mod 3 Chow ring of E is zero.