The review summarizes various approaches to the description of the olefins synthesis kinetics from methanol/dimethyl ether for two types of zeolite catalyst, ZSM-5 and SAPO-34. It has been shown that along with phenomenological models, microkinetic models derived with taking account of the detailed reaction mechanism and quantum-chemical calculations based on the single-event concept of the reaction rate and the transition state theory are being widely used now. Both power laws and the Hougen-Watson equations are proposed to describe the rates of elementary steps.