T.J. Krajewski led the way for the Jets (22-23-3-0) with a goal and two assists and Trevor Kalinowski made 32 saves between the pipes.
"I'm proud of the way the kids played today," said Jets' coach Jason Cirone. "They really put together a great effort and I'm proud of them."
Brian Ziola, Mike Gambino and Chris Mayer also scored, while captain Matt Stirling and Doug Andrews each had an assist in their final junior hockey games.
For Cleveland, Dominic Valencia scored twice and goalie Nick Danczak made 12 saves.
After the game, instead of both teams heading to their respective locker rooms, they gathered at center ice for a post-game handshake (pictured).
Next up for the Jets are team exit interviews on Monday and preparing for the NA3HL Entry Draft on June 11.