Meyers, 27, has split time between the NHL and AHL this season, while Winterton, 22, posted career highs with three goals and 12 assists.
General manager Jason Botterill praised the players' versatility and speed.
Kraken Extend Meyers and Winterton Two Years
The Seattle Kraken agreed to two-year contract extensions with forwards Ben Meyers and Ryan Winterton on Tuesday.