Sidibe becomes the Toffees’ sixth summer signing following the arrivals of goalkeeper Jonas Lossl, midfielders Andre Gomes, Fabian Delph and Jean-Philippe Gbamin, and striker Moise Kean.
The 27-year-old after signing the dotted lines stressed;
“I was very happy to hear a historic and big club like Everton was thinking of signing me,' he said. 'It was very easy for me. I did not have to reflect for too long before making my decision to come here.
“Everton are recruiting with the intent to win trophies and play on the biggest stage. I am 100 per cent motivated and ready to help the club achieve its goals and to achieve my own individual goals.”
Everton manager, Marco Silva disclosed the signing of Sidibe is to have alternatives at the right-back.
“He is a World Cup winner and he has the hunger to achieve much more in his career,' Everton boss Silva told the club's website.
“It is important to have different options in each position and with Djibril and Seamus we now have two high-quality right-backs.
“Djibril has also shown to me he has a real desire to play for Everton and be part of the big things we are trying to create.
“Djibril is a strong defender, which is the most important thing to play in our back-line,' Silva added. 'He also has the capacity to attack, crossing and linking with his team-mates.
“He showed with many assists at Monaco how he can help his team at both ends of the pitch.”
Sidibe was part of France’s squad that won the 2018 World Cup in Russia, defeating Croatia 4-2 in the final at Moscow's Luzhniki Stadium and also an integral prospect when Monaco won Ligue 1 title in the 2016-17 season.