It completes a double for New Zealand after the women won their event yesterday.
The All Black Sevens beat the USA 21-5 in the final to claim their first title in Dubai since 2009.
In the quarter-finals New Zealand beat Scotland 21-7 and then held on to beat England 7-5 in the semi-finals.
Coach Clarke Laidlaw had just nine players to choose from for the final with injuries to Scott Curry, Sam Dickson, Akuila Rokolisoa and Regan Ware.
Stand-in captain Sione Molia reflected on the win.