After the 1994 genocide and collapse of the health system, Rwanda initiated major social and health reforms in order to reduce child mortality and health inequities in accordance with the Millennium Development Goals. The aim of this thesis was to assess trends in under-five mortality (U5M) and equity in child survival, to study social barriers for improved perinatal and neonatal survival, and to evaluate Helping Babies Breathe (HBB), a newborn resuscitation program. In paper I we analysed trends and social inequities in child mortality 1990-2010, using data from national Demographic and Health Surveys conducted in 2000, 2005, and 2010. The following papers were based on hospital studies in the capital of Rwanda. In paper II we explored social inequities in perinatal mortality. Using a perinatal audit approach, paper III assessed factors related to the three delays, which preceded perinatal deaths, and estimates were made of potentially avoidable deaths. Paper IV evaluated knowledge and skills gained and retained by health workers after training in HBB. Under-five mortality declined from the peak of 238 deaths per 1000 live births (95% CI 226 to 251) in 1994 to 65 deaths per 1000 live births (95% CI 61 to 70) in 2010 and concurred with decreased social gaps in child and neonatal survival between rural and urban areas and household wealth groups. Children born to women with no education still had significantly higher underfive mortality. Neonatal mortality also decreased but at a slower rate as compared to infant and U5M. Maternal rural residence or having no health insurance were linked to increased risk of perinatal death. Neither maternal education nor household wealth was associated with perinatal mortality risks. Lack of recognition of pregnancy danger signs and intrapartum-related suboptimal care were major contributors to perinatal deaths, whereof one half was estimated to be potentially avoidable. Knowledge significantly improved after training in HBB. This knowledge was sustained for at least 3 months following training whereas practical skills had declined. These results highlight the need for strengthening coverage of lifesaving interventions giving priority to underserved groups for improved child survival at community as well as at hospital levels.