Guptill and Colin Munro made light work of the chase but it was the pace attack that could make a difference as New Zealand bid to go one better after losing to Australia in the 2015 final.
"You want to build that momentum early at a major event and today we did that," Guptill, who finished with an unbeaten 73, told a news conference.
"If we bowl first in the next few games, we’ll back ourselves to make it difficult to score on the back of this performance. The beauty about our guys is they can exploit conditions quite regularly.
"If we're then able to keep coming out and playing with a bit of freedom with the bat, we're going to have a pretty successful tournament."
Guptill hailed Henry's spell of 3-29 which saw him strike twice in the ninth over to remove Kusal Perera and Kusal Mendis and expose the Sri Lankan middle order.
Henry, who took the new ball instead of the injured Tim Southee, faced criticism after conceding 109 in nine overs against West Indies in a warm-up game earlier this week.
"Matt had a tough time against the West Indies... but bowling to that lot is pretty difficult," said Guptill. "They can put you out of the park pretty readily.
"Having seen him put the ball in the right areas for long enough, it's good to see him get the rewards he deserves."
(Reporting by Hardik Vyas in Bengaluru; editing by Tony Lawrence)
