In today’s life, the formation of a new twenty-first century society structure, which is changing people’s personal, professional and social conditions of existence, more and more frequent are demands from the public and there is a trend of social competence development. First of all, thinking about the teachers, who often run initiatives, internal motivation, knowledge, sometimes in interaction with students in strengthening the social competence phenomena such as communication and cooperation. It is never too late to improve communication and cooperation culture. The article seeks to reveal the importance of social competence for self-assessment process. The article presents the theoretical background of self-assessment process. In order to reveal social competence, a model which illustrates the parts of social competence such as communication (reciprocity) and cooperation (activity) is presented. That‘s why teacher-teacher, teacher-student, student-student, student-teacher have been chosen as research subjects who reflect the characteristics of reciprocity and activity in the process of learning. The instrument of the research is a questionnaire. The research participants were 49 Lithuanian teachers, 142 students and 23 Belgian teachers and 86 students.