Associative thinking is treated as a type of divergent production abilities. The subject of analysis is to what extent the specificity of associative divergent production abilities occurs, based upon the fluency, originality and productivity scores. The subjects of the study are pupils from two types of secondary schools: music school and the school of fine arts. The data about their artistic achievements and their intelligence and personality are also included in the study. Conclusion is that the personality and the intelligence are different determinants of the associative divergent production between two have just mentioned gifted groups.