The author of the article analyzes the pedagogical conditions of creating the situation of success in education as an important means of forming the subject competence of the students of specialized classes. Subject competence is seenas an integrative personal characteristic that is a factor of the students’ development, their intellectual abilities, provides training for further professional education. The criteria, factors, psychological and pedagogical conditions of the subject competence of the students as a factor in the effectiveness of teaching biology at the core level are disclosed. One of the advanced and promising for the modern school nowadays is acmeological approach. The application of acmeological approach to the educational content, technologies of training and education of the students allows the school to transfer from mode formal to mode of operation. The conceptual basis of the technology of creating the situation of success constitute the concept of personality oriented education and training, active approach, developing education. The author states that the situation of success is specially designed learning environment, training and development to ensure effective mastery of the educational content at the productive level and the experience of creative activity. Creation of the situation of success in education requires the following conditions: the clarity of the requirements of the teachers to the students; motivational target setting for activity; providing meaningful teaching and learning activity; procedural provision; logistics; positive attitude of the teachers to the student performance; responsible and conscious attitude of the students tothe results of their activity; individual assistance to the students; developmental educational environment. In conclusion the author stresses that creation of the situation of success overcomes the obstacles to productive study and promotes the acquisition of the subject competence by the students. Using acmeological approach by the teacher improvesthe level of the pupils’ cognitive activity that promotes full disclosure of creative potential and self-realization in the profile further biological education.