Despite the Dutch dominating the early stages of the game, some poor defending allowed Michael Krohn-Delhi to speed into the area and slot the ball through Maarten Sketelenberg's legs.
Holland had plenty of chances to pull level but were guilty of wasteful finishing. Robin van Persie and Arjen Robben both had good opportunities to score, but neither could find the net, despite having scored 56 goals between them for their clubs this season.
As the game wore on, Holland continued to create chances, but as the clock ticked down more and more opportunities were squandered, Mark van Bommel forced a fine save from Stephan Anderson, but of Holland's 29 shots, only 6 were on target.
There was a late penalty when Denmark's Lers Jacobsen handled the ball inside the box but referee Damir Skomina waved away the protests and at full time, it was Denmark 1 Holland 0.
The Dutch had plenty of chances to equalize but were extremely poor in front of goal and Denmark clung on to go top of Group B after its first game.
Star man: Daniel Agger - Held the Danish defensive line well, allowing them to clinch a narrow victory.
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