The purpose of the paper is to identify and analyse the core processes and additional processes within the complex strategy implementation process and to assess their capability levels. Based on the assessed process capability levels, maturity assessment of strategy implementation in a higher education institution has been demonstrated. The Balanced Scorecard (BSC) method was used in research in order to identify the key processes of strategy implementation, while the ISO/IEC 15504 standard was used for the capability assessment of the identified processes in order to determine the real maturity of strategy implementation in a higher education institution.