Teenager Vondrousova dominated the first set, but the top seed rallied to claim the third WTA singles title of her career with a 1-6 7-5 6-2 victory on Sunday.
Van Uytvanck saved five match points in her semi-final win over Ekaterina Alexandrova and was in for another battle in a decider which included 12 breaks of serve.
Vondrousova won her only previous match against van Uytvanck in 2017 and the 19-year-old Czech looked to be heading for a repeat when she reeled off five games in a row to take the opening set.
Eighth seed Vondrousova twice got back on serve after being broken in the second, but Van Uytvanck edged back in front at 6-5 with another break before levelling the match.
Van Uytvanck stepped it up in the decider, surging into a 4-0 lead and not allowing her opponent a way back.
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