Relationships between emotional intelligence and the quality of attachment was compared on gifted and normal students( 245 male, 255 female). After measuring the IQ with WMTI test (Ejei, 1980), subjects respond to IPP A scale (Greenberg, 1995) and EQ- I inventory (Bar-on 1997). Regression analysis suggest meaningful relationship between EQ- I and the quality of attachment. The entered variables in stepwise regression for gifted group were (alienation to peers, trust to mother, alieanation to father, communication to peers, age) , the entered variables to stepwise regression on normal group were (trust to father, alienation from mother, trust to peers, mother, age). ANOVA showed the meaningful effect of gender on EQ-I. MANOVA showed the effect of gender on first, second, fourth, and eighth subscales of EQ-I. in addition group variable had only effect on eighth subscale of EQ- I. The effect of group on gender was meaningful on first, second, fourth, and eight subscales of EQ-I.