The Hammers paid a reported £40 million ($76 million) for the defender, who has signed a seven-year contract with the club.

Wolves initially turned down an offer of £25 million ($47.4 million) but accepted the improved offer for Kilman, who had signed a long-term deal with Wolves last year.

Kilman is reunited with his former manager, Julen Lopetegui, who made him captain when in charge of Wolves.

"It's an amazing feeling to be a West Ham player," Kilman said.

"As soon as I was aware of the interest from the club, it was an opportunity I was keen to pursue, so I couldn’t be more delighted to be here.

"I really enjoyed working with Julen during his time at Wolves. He's a top-class coach and someone I learned a lot from, and I am confident I will continue to improve as a player under his management here."

The 27-year-old joined Wolves in 2018, making his debut in May 2019. He went on to make 151 appearances in all competitions, scoring three goals.

He becomes Lopetegui's third signing at West Ham, coming after Brazilian winger Luis Guilherme and goalkeeper Wes Foderingham into the club.

Maidenhead United, the National League club that Kilman was playing at when he was sold to Wolves, has also cashed in on the deal. The club sold the defender in 2018 for £40,000 ($76,000), inserting a 10 per cent sell-on clause in that contract, meaning it will earn £4 million ($7.6 million) on the player.

Maidenhead chairman Peter Griffin said: "I would like to congratulate former Maidenhead United player, Max Kilman, on completing his transfer from Wolves to West Ham and wish him every success for this exciting next stage of his career.

"Ultimately this is a fantastic outcome for the club, which will benefit from one of the largest, if not the largest, transfer payments an English non-League club has ever received, which is something to celebrate.

"This is testament to the hard work of Alan Devonshire and his coaching team past and present, as well our academy programme, which every year is developing players which move into our first team squad.

""This is a momentous day for Maidenhead United FC, which gives us the opportunity to profoundly change the future of the club. A supporters meeting will be held in due course to give more details on how the cash injection will be used on and off the pitch."