Burakovsky, 22, who became a restricted free agent July 1, will receive $3 million annually. He had 35 points (12 goals, 23 assists) in 64 games last season and six points in 13 Stanley Cup Playoff games. He set NHL career highs in goals (17) and points (38) in 2015-16.
Selected by Washington in the first round (No. 23) of the 2013 NHL Draft, Burakovsky has 95 points (38 goals, 57 assists) in 196 regular-season NHL games.
The signing comes two days after Washington re-signed restricted free agent center Evgeny Kuznetsov to an eight-year, $62.4 million contract ($7.8 million annually).
The Capitals have about $5.6 million in NHL salary-cap space remaining, according to CapFriendly.com, and restricted free agent goalie Philipp Grubauer to be re-signed.
Washington re-signed right wing T.J. Oshie to an eight-year, $46 million contract on June 23, and defenseman Dmitry Orlov to a six-year, $30.6 million contract on June 30. They then lost free agent defensemen Kevin Shattenkirk (New York Rangers) and Karl Alzner (Montreal Canadiens), and right wing Justin Williams (Carolina Hurricanes) on July 1, after losing defenseman Nate Schmidt (Vegas Golden Knights) in the NHL Expansion Draft.
On Sunday, the Capitals traded forward Marcus Johansson to the New Jersey Devils for two picks in the 2018 draft.