Minor leagues After the season, Burleson was selected by the
St. Louis Cardinals as an outfielder in the second round (70th overall) of the
2020 Major League Baseball draft. He signed for $700,000. He did not play a minor league game in 2020 because the season was cancelled. To begin the 2021 season, he was assigned to the
Peoria Chiefs of the
High-A Central. He was quickly promoted to the
Springfield Cardinals of the
Double-A Central, and was then promoted to the
Memphis Redbirds of the
Triple-A East in early August. Burleson ended the 2021 season with a combined .270/.329/.454 slash line with 22 home runs and 76 RBIs over 119 games between the three clubs. Burleson returned to Memphis to begin the 2022 season. Over 109 games, he slashed .331/.372/.532 with 20 home runs, 87 RBIs, and 25 doubles.
Major leagues On September 6, 2022, the Cardinals selected Burleson's contract and promoted him to the major leagues. He made his MLB debut on September 8 as the club's starting right fielder, going hitless over four
at-bats with a walk in an 11–6 loss to the
Washington Nationals. He collected his first MLB hit on September 11, a single off
Duane Underwood Jr. of the
Pittsburgh Pirates in a 4–3 St. Louis win. He hit his first MLB home run on September 23 off of
Hanser Alberto of the
Los Angeles Dodgers at
Dodger Stadium in an 11–0 Cardinals win. Over 48 at-bats in 16 games with the Cardinals in 2022, he hit .188 with one home run, three RBIs, and one double. Burleson spent the entirety of the
2023 season with St. Louis and appeared in 107 games, batting .244 with eight home runs and 36 RBIs. He broke his thumb in September, ending his season early. He spent time in left field, right field, first base, and as a designated hitter. In
2024, Burleson was an everyday player for the Cardinals, appearing in 152 games, leading the club with 78 RBIs while
slashing .269/.314/.420 with 21 home runs. Burleson played in 139 games for the Cardinals in
2025 as a first baseman, left fielder, right fielder, and designated hitter. He hit .290 with 18 home runs and 69 RBIs. He was awarded his first
Silver Slugger Award for a utility player. ==Personal life==