Zeolite catalysts for producing lower olefins having 2 to 4 carbon atoms, for performing reactions to produce the lower olefins from hydrocarbon feedstocks with low boiling points having a range of boiling points from 35° C. to 200° C. at reaction temperature range from 525° C. to 575° C., and for suppressing formation of aromatic hydrocarbons, the zeolite catalysts comprising MFI-type crystalline aluminosilicates containing iron atoms in a skeleton in a state in which an iron source, a silicon source, and an aluminum source are synthesized by hydrothermal synthesis,
- the zeolite catalysts having molar ratios of iron atoms to total moles of iron atoms and aluminum atoms in the range from 0.4 to 0.7.