Abstract: The existence of monotone and nonmonotone traveling wave solutions for some simplified models of Belousov-Zhabotinskii chemical reaction is discussed . First-ly , the critical value of the wave speed found in a previous paper for a simplified model is proved to be the least wave speed . Secondly, using a Hopf bifurcation theorem developed by Kozjakin V S and Krasnosel'skii M A the existence of periodical traveling wave solutions for a more complicated model is proved .