The present invention provides a process for producing lower olefins by catalytic 
cracking a feedstock comprising an olefins-enriched mixture containing C4 or higher olefins and optionally an organic 
oxygenate compound. The technical problem mainly addressed in the present invention is to overcome the defects presented in the prior art including low yield and selectivity of lower olefins as the target products, and short regeneration period of catalyst. The present process, which is carried out under the conditions of catalytic 
cracking olefins and adopts as a feedstock an olefins-enriched mixture containing one or more C4 or higher olefins and optionally an organic 
oxygenate compound, comprises the steps of: a) letting the feedstock firstly enter a first 
reaction zone to contact with a first crystalline 
aluminosilicate catalyst having a SiO2 / Al2O3 
molar ratio of at least 10, to thereby produce a first reaction 
effluent containing lower olefins; b) letting the first reaction 
effluent enter in turn at least one second 
reaction zone to contact with a second crystalline 
aluminosilicate catalyst having a SiO2 / Al2O3 
molar ratio of at least 10, to thereby produce a second reaction 
effluent containing lower olefins; and c) separating lower olefins from the second reaction effluent; wherein the reaction temperatures in the first and second reaction zones are controlled. The present process, which desirably solves the above technical problem, can be used in industrial production of lower olefins.