Quantitative data on geographical accessibility to healthcare remain generally limited in sub-Saharan Africa. This study sought to generate quantitative evidence regarding health care access in the Ashanti region of Ghana. Dasymetric mapping technique and GIS tools were used to estimate the total population living within the World Health Organization (WHO)'s recommended 5 km distance to the nearest health facility. An estimated 81.4% of the population had access to general primary health care, 61.4% to secondary-level health care and, only 14.3% to tertiary health care. Despite the high levels of accessibility to general primary health care, accessibility remains poor in some selected districts, especially rural districts in the region. About 30% of the population are more likely to have to travel long distances to access healthcare, particularly specialist services which are available only at secondary and tertiary centres. There is the need for intensified efforts to address inequities in geographic accessibility to healthcare so as to minimise inequalities in health outcomes as well as achieve the desired improvements in population health.