Bieber will receive a $679,700 salary while in the major leagues and $311,600 in the unlikely event he is optioned to the minors.
Bieber was an All-Star in 2019 and led the major leagues during last year's shortened season in wins (eight), ERA (1.63) and strikeouts (122).
Those renewed include New York Mets first baseman Pete Alonso, the 2019 NL Rookie of the Year, who gets a salary of $676,775 in the major leagues and $326,261 in the minors.
Another top young Mets player, left-hander David Peterson, agreed to a one-year contract with a salary of $585,750 in the major leagues.
Seattle outfielder Kyle Lewis, the reigning AL Rookie of the Year, was renewed for $625,000 in the majors and $282,750 in the minors.