The importance of ecosystem service such as green spaces has risen due to restrictions on outdoor activities amid the climate crisis and COVID-19. While gardens significantly impact economic development, quality of life, and social well-being, comprehensive studies on their multidimensional values are lacking. This research categorizes garden values into social, cultural, environmental, and health dimensions and proposes an integrated assessment framework that introduces detailed elements and evaluation methods. An empirical assessment of carbon storage index in two Korean gardens, Semiwon and Juknokwon, reveals Semiwon's higher carbon storage per unit area. The proposed framework, emphasizing a quantitative approach, enables cross-national and regional comparisons, contributing to a broader understanding and evaluation of garden values beyond specific facilities.