Polyamidoamine dendrimer of zero generation was prepared by a divergent synthesis scheme using the reagent excess method starting from ethylenediamine by consecutive Michael addition and ester amidation reaction. In order to obtain the fluorescent dye, the amino end groups of synthesized dendrimer were reacted with 4-amino- 1,8-naphthalimide via aromatic nucleophilic substitution reaction. The chemical structures of prepared dye and its corresponding intermediates were studied by FTIR, 1HNMR, 13CNMR and UV-Visible spectroscopic techniques. Synthesized dye was applied as a disperse dye on polyester fabric by high temperature exhaustion dyeing and relevant characteristics of dyed fabrics including dye ability, build up, wash and light fastness were evaluated. Also the position of color in CIELAB coordinates (L*, a*, b*, h°, C*) was assessed.