This is the equivalent of 400,000 children, reports Swedish Radio news.
The study was carried out by the Swedish National Institute of Public Health and is the first of its kind in Sweden.
The figures show that 20,000 children have a mother or father whose alcohol dependence is so severe that they require hospital care.
Often the alcoholism comes together with other problems such as depression and poverty.
The report calls for teachers and communities to keep an eye on children’s emotional wellbeing to minimise the numbers suffering as a result of this problem.