Man of the match Bennett removed four of the top five with Tim Southee (3-13) and Jacob Oram (3-2) also doing damage to remove Kenya for just 69.
Only three Kenyan batsmen made it into double figures as the Black Caps produced a master class after being asked to field.
Martin Guptill (39) and Brendan McCullum (26) knocked off the total inside eight overs to complete the rout.
The New Zealand attack were accurate throughout and constantly threatened the Kenyan line up. After Southee trapped Alex Obanda the wickets began to tumble as Bennett was introduced.
Veteran talisman Steve Tikolo was then comprehensively bowled by a Bennett delivery to leave Kenya reeling.
SoutheeÃ¢â‚¬â„¢s pace then blew away the tail as did OramÃ¢â‚¬â„¢s accuracy as the minnows capitulated.
Guptill set off the fireworks immediately in the New Zealand reply before McCullum finished the job with three boundaries in an over to complete the crushing win.
New Zealand Daniel Vettori saluted his fast bowlers after the emphatic victory. He said: “It was good to start like this. The victory will stand us in good stead for the match against Australia on Friday.
“The wicket had a bit of variable bounce, which our seamers exploited. It was a great performance from the bowlers.”
Meanwhile, Kenya captain Jimmy Kamande admitted nerves affected his side’s performance. “Most of our batsmen played across the line, we didn’t play straight,” he said.
“We were a bit nervous. But the first game is out of the way.”
MORE: The latest football news
MORE: The latest tennis news
BIOGRAPHY: Adam Lallana
BIOGRAPHY: Nacho Monreal