The U.S. forward found the net in the second half to give his Alkmaar side a point away from home.
Erik Falkenberg gave AZ a first half lead, but Charlton Vincento equalized, and Danny Holla's penalty just after halftime gave Den Haag the lead but Altidore had the game's final strike, finding the net in the 64th minute.
Altidore's tally maintains his spot as the third-highest scorer in the league, behind Ivory Coast international Wilfried Bony of Vitesse Arnheim and Alfred Finnbogason of SC Heerenveen.
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