The 25-year-old forward was a restricted free agent and avoided a salary arbitration hearing scheduled for Aug. 10.
Kolesar had an NHL career-high 24 points (seven goals, 17 assists) in 77 games for the Golden Knights last season.
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Selected by the Columbus Blue Jackets in the third round (No. 69) of the 2015 NHL Draft, Kolesar has 37 points (10 goals, 27 assists) in 122 regular-season games and four points (one goal, three assists) in 17 Stanley Cup Playoff games. He has played all three of his NHL seasons for Vegas.