Michiel Kramer scored in the 85th minute to move the hosts further away from the relegation zone and end Vitesse’s 12-match unbeaten ruin.
Vitesse remain four points behind third-placed Feyenoord having played a game more.
Den Haag have now won three of their last four matches and sit 12th, nine points clear of the drop zone.
(Reporting by Mark Gleeson; Editing by Ken Ferris)
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