The court found the 25 year old, who came to Denmark in 2008 as a UN quota refugee, guilty of three rapes and two attempted rapes.
The man will be held in open-ended preventive custody and could also face expulsion from Denmark and an entry ban.
He was sentenced to what is known as forvaring, a sentence with no concrete end date. Under the sentence, the convicted appears in court after a period of five years for a determination of continuation. After the initial five years, there will be an annual determination.
The jury also ruled that if the man is released from prison he should be expelled from Denmark and face an entry ban.
The man’s lawyer filed an immediate appeal against the court’s decision.