In a hollow fiber element constituting a separation membrane module for separating an organic vapor, at least one end part of a fiber bundle consisting of multiple hollow fiber membranes having a selective permeability is fixed and bound with a tube sheet formed by a cured material, in which an epoxy composition (A) has been cured by using a hardener (B). A glass transition temperature of said cured material is not less than 160° C., a minimum elongation at break thereof is not less than 7.0%, and an elution ratio thereof is less than 5%. For this reason, the hollow fiber element has enough endurance to retain a gas-tightness of an internal space of the hollow fiber membrane and an external space of the hollow fiber membrane even in use under organic vapor with an elevated temperature and high pressure.