Miller is the winningest United States-born goalie in NHL history with 378 victories. He ranks fourth in wins among active goalies and is 16th on the NHL all-time list. He won the Vezina Trophy and made the NHL First All-Star Team in 2009-10 with the Sabres, and he has had at least 30 wins in a season seven times.
Derek Grant and Korbinian Holzer each also signed a one-year contract to stay with Anaheim. Financial terms were not disclosed. Each could have become an unrestricted free agent July 1.
Grant, a 29-year-old center, had 14 points (four goals, 10 assists) in 56 games, including nine points (two goals, seven assists) in 31 games with the Ducks after he was acquired in a trade from the Pittsburgh Penguins for center Joseph Blandisi on Jan. 17.
Selected by the Ottawa Senators in the fourth round (No. 119) of the 2008 NHL Draft, Grant has 45 points (16 goals, 29 assists) in 208 regular-season games in six seasons with six NHL teams and no points in four playoff games with Anaheim.
Holzer, a 31-year-old defenseman, had four points (one goal, three assists) in 22 games for the Ducks this season. A fourth-round pick (No. 111) of the Toronto Maple Leafs in the 2006 NHL Draft, Holzer has 23 points (five goals, 18 assists) in 157 NHL games in seven seasons with Toronto and Anaheim.