While remaining one of the poorest countries in the world, Vietnam's infant and child mortality rates have been much lower than those observed for countries with similar or even higher levels of real income per capita. The paper investigates the role of parents' characteristics in affecting survival of their children, using a logistic discrete-time model and data from the Vietnam Demographic and Health Survey 1988. It is found that infant mortality is significantly higher for children of mothers with no formal education. However, parents' other socioeconomic characteristics, including mothers attaining levels of education higher than the primary level, are not important for explaining differences in child survival. There is some evidence that children of higher orders of birth face higher risk. Results on the effects of maternal education diverge from findings for other countries, but can perhaps be explained by the country's distinctive features.