This study investigates the relationship between the level of socio-economic development and infant and child mortality in India. The perspective of this study is based on the "Theory of Demographic Transition" which states that improved public health programs and technological and medical advances bring down the level of mortality. The study tests the following major hypothesis: the higher level the level of socio-economic development, the lower the infant and child mortality rates among the states in India. The study applies correlation and multiple regression analysis to data collected by the National Family Health Survey 1992-1993, one of the most comprehensive surveys of its kind ever conducted in India by the Ministry of Health and Family Welfare Government of India. The finding support the theory of demographic transition in large measure revealing that the overall socio-economic development is inversely related to infant and child mortality rates among the states of India.