Infant and child mortality rates are good indicators to show the scenario of health and nutritional status of the children of any country or region. Infant and child mortality in the whole of Bangladesh and divisional districts of Bangladesh estimated and identified the level of health of infants and children. The Orphanhood Method used the distribution of the female population by age in the whole of Bangladesh in 2011, and for eight divisional districts of Bangladesh such as Barisal, Chittagong, Dhaka, Khulna, Mymensingh, Rajshahi, Rangpur, and Sylhet collected from the Bangladesh Bureau of Statistics to fulfill the objective of the study. This study also used children everborn and surviving classified by age of the female population of Bangladesh in 2011. Results showed that the mortality rate was almost increasing with the age of the child, but high at all ages. The estimated infant mortality rate is 5.08% for the whole of Bangladesh, 4.07% for Barisal, 4.99% for Chittagong, 4.96% for Dhaka, 4.96% for Khulna, 4.95% for Mymensingh, 4.93% for Rajshahi, 4.92% for Rangpur, and 5.05% for Sylhet district of Bangladesh. Results also showed that there was no significant difference in infant and child mortality rates of the whole of Bangladesh and divisional districts of Bangladesh at ages 1, 2, 3, and 5 years. The government, non- government organizations, and policymakers should design effective and sustainable programs to reduce infant and child mortality rates in Bangladesh and to achieve the target of Sustainable Development goal 3 of World Health Organization.