It is evident that maternal and under-five child deaths have gradually reduced in Sub-Saharan Africa (SSA) in the last three decades. In a bid to improve access and utilization of maternal and child health care services in the region, actors in public, private and civil society arenas at all levels have engaged in familiar circles towards service provisioning. Nevertheless, evidence from several SSA countries shows less utilization of some maternal and child health care services. The demand remains low for some services such as attendance of four antenatal visits as recommended by World Health Organization, delivery skilled birth attendants, postnatal care especially for newborns, child immunization, and use of modern contraceptives. The concern remains whether the less demand is influenced by supply-side or demand-side factors. The personal, socio-cultural, economic, health systems related factors may condition a person’s demand choices regardless of the need for a particular health service. Improved access may not necessarily translate into utilization because of these interrelated determinants of demand. Therefore, policy-makers might need to turn to Sen’s capability approach viewpoint to gaze at how expanding people’s choices-especially poor women might help to improve the demand for maternal and child health services in SSA. Policy interventions may include pro-poor healthcare service provisioning through public financing, improving women’s education, improving women’s access to information, etc. However, a multi-sectoral approach is necessary for addressing all demand determinants at all levels and the interventions should be context-specific.