By making use of our previous result on a localization principle for biholomorphic mappings between equidimensional Fock-Bargmann-Hartogs domains in ℂn×ℂm with m≥2 and the same technique as study ℂn×ℂ, this paper we establish characterization biholomorphicity holomorphic self-mappings generalized domains. As special case this, obtain main recent by Guo, Feng Bi.