Winger Robben, making his first start in South Africa, rifled home a solo effort after 18 minutes to give the Dutch the lead, before Sneijder wrapped it up six minutes from the end.
Robert Vittek scored a consolation for Slovakia from the penalty spot with the last kick of the game.
Image:Arjen Robben celebrates after scoring the opening goal to the dismay of Slovakia's Marek Hamsik
Text: Reuters
Images: AP