The invention provides a process for separation and recovery of an olefin from a mixture of a paraffin and an olefin, contains a separation membrane containing a porous substrate and a zeolite layer that is formed on a surface and/or in a surface layer of the substrate, the zeolite layer being a hydrophilic zeolite layer that has an Si/Al ratio of 1.3 Si/Al 3.5 and a separation factor α, which is expressed by a value of a water/IPA weight ratio of a permeated component divided by that of a feed component in a pervaporation test at a temperature of from 40 to 75° C. of a water-isopropanol mixture containing from 15 to 30% by weight of water, of 10 a 4,000.