Dyche joins the Toffees on a two-and-a-half-year deal, replacing Frank Lampard who was sacked last week.
Everton are currently 19th on the Premier League table, with only three wins from 20 league games, collecting only 15 points. The Toffees narrowly avoided relegation last season under Lampard.
“I know about Everton’s passionate fanbase and how precious this club is to them,” Dyche said. “We’re ready to work and ready to give them what they want.
“That starts with sweat on the shirt, effort and getting back to some of the basic principles of what Everton Football Club has stood for for a long time.
“We want to bring back a good feeling. We need the fans, we need unity and we need everyone aligned. That starts with us as staff and players.
“Our aim is to put out a team that works, that fights and wears the badge with pride. The connection with the fans can then grow very quickly because they’re so passionate.
“There is quality in this squad. But we have to make them shine. That’s the job of me and my staff.
“We want to change the shape of this club going forward, remodel it in our style, but in a way that we can win.
“That’s the task in front of us - make sure we’re building, tactically and technically, giving players organisation, allow them the freedom to play, to go and enjoy their football because it’s brilliant when the team’s playing with a smile, but we’ve got to win.”