Development of systemic methodology of education quality assessment in academic institutions is based on components and basic functions of quality assessment. The decisive factor in the specification of methodological quality assessment is to respect the evaluation requirements, which are objectiveness, fairness, usefulness. An institution of higher education can be competitive if they always evaluate and develop evaluation methodology, which reflect the objectives, student's and teacher's activity, content, forms, methods, conditions and training results. Evaluation should be done on the evidence of systemic interaction of teacher and student.