Dibling, 19, moves to Everton for £35m plus £5m in bonuses and has penned a deal to 2029.
"Tyler adds to our attacking options and we will support him in his future development," said Moyes.
"We are eager to build a team that Evertonians can enjoy watching and be proud of, and Tyler can help us achieve that."
Meanwhile, Dibling said: "I think the manager is perfect for me.
"Obviously he's helped so many players before who were in my position. I've spoken to him and I know he's going to be good for me.
"My aim for this season is just to play as many games as I can and to help the team as much as I can with goals and assists. As a team, hopefully we can have a good season and see where it goes."
The winger also stated: "I think it's the perfect match because of where the club is right now.
"Obviously with the new stadium, the fans here are unreal, and it has a family feel to it. I think it was the perfect fit and was a no-brainer to join."