The Fenerbahce man became the seventh Dutch player in the nation's history to earn centurion status, and Kuyt admits that he is a "very proud person".
"It's amazing, a special day for me," he told FIFA.com.
"To become the seventh player in the history of Dutch football to reach 100 caps, and to finish the game like that, is amazing.
"I'm a very proud person; I'm very proud of the team and the team spirit. We kept fighting until the end and we're very happy with the result."
Netherlands face Costa Rica in the next round following their dramatic penalty shootout win over Greece.