The contract has a no-move clause for the first two seasons, according to Dreger.
The 27-year-old had spent the past six seasons with the Anaheim Ducks.
He helped lead the team to a 51–24–7 record last season, which tied for the top record in the NHL's Western Conference. His 22 goals last season were a career high. He also had 10 assists.
Beleskey netted eight goals during the Ducks' Stanley Cup playoffs run to the Western Conference finals, a team mark second only to Corey Perry.
Anaheim lost in the Western Conference finals to the eventual Stanley Cup champion Chicago Blackhawks.