"The victims are a 13-year-old boy from The Hague, a 15-year-old girl from Alphen aan den Rijn and a 15-year-old girl from Leiderdorp", the statement read.
Police reported that a 35-year-old suspect in the stabbing attack has been arrested. In a statement, Hague police described the suspect as "not having any fixed home or place to stay".
The three were attacked by a man wielding a knife on a busy shopping street in The Hague downtown on Friday evening. The attacker is still at large.
Police said the three did not know one another. They were dismissed from the hospital later on Friday.
The reason for the stabbing remains unknown, police added, saying "all scenarios are therefore open". It also said that the description of the attacker that was circulated earlier turned out to be false and was recalled. The stabbing took place while the street was packed with people going for Black Friday shopping.