Strome has suited up for two seasons in Chicago since being acquired by the club from the Arizona Coyotes in 2018, amassing 29 goals and 89 points through 116 games following the trade. He posted 38 points in 58 games last season.
"We believe Dylan is ready to take the next step in his career and build off the strides he has made in his first two years in Chicago," GM Stan Bowman said in a team release.
"He has great offensive instincts and brings creativity and skill to our team. We are thrilled he is now signed and able to join us tomorrow for the start of training camp."
The 23-year-old was originally drafted third-overall by the Coyotes back in 2015 — among a top-four that included Connor McDavid, Jack Eichel and Mitch Marner at Nos. 1, 2 and 4, respectively — before being acquired by Chicago, along with Brendan Perlini, in exchange for Nick Schmaltz.