This study aims to explore the relations among preschool children\'s peer accepance, mother\'s restrictiveness, gender, cognitive ability , and early peer relationship. The subjects of this study were 34 preschool children(18 boys) and their mothers. Instruments for the study were Learning- transfer Test by Jo, & Hwang (1990), a Sociometric test and a questionaire on mothers\' restrictiveness. The major statistical methods for the analysis were pesrson r, and multiple regression. The majof findings of this study were as follows : Firtst preschool childern\'s peer acceptance was negatively related to mother\'s restrictiveness(r= -.65). Second, the significant preditor of preshcool children\'s peer acceptance was mother\'s restrictiveness and of the independent varivbles accounted for proximally 51% of preschool children\'s peer acceptance.