The article reviews forms of higher education internationalisation at an institutional level. The relevance of theoretical background of internationalised study quality assessment is highlighted and definitions of internationalised studies quality are presented. Existing methods of assessment of higher education internationalisation are criticised for not involving the totality of elements of different internationalised studies at an institutional level. Taking into consideration parameters of higher education internationalisation and theory and practice of quality management in higher education, a recommendation is given to assess the quality of internationalised studies following the methodology that enables proper quality assessment of internationalisation at higher education institutions and its development.