We have a classification of the simple modules of the pro-p Iwahori Hecke C-algebras of reductive p-adic groups G = G(F) where F is a finite extension of Q_p or of F_p((X)) and C an algebraically closed field of characteristic p. It consists of two parts: the classification of supersingular modules (Ollivier-Vigneras) and the description of induced representations (Abe).