"Doesn't have the same natural athleticism as Jake Allen, but his reads and positioning are top-tier." (Jeremy Rutherford, The Hockey News Future Watch 2014, p. 43)

• Selected by St. Louis Blues in third round (88th overall) of National Hockey League entry draft, June 25, 2011.
• Signed to amateur tryout contract with Peoria Rivermen (AHL), April 6, 2012.
• Released by Peoria (AHL), April 16, 2012.
• Signed to three-year, entry-level contract with Blues, May 29, 2012.
• Resigned as restricted free agent to one-year, two-way contract with Blues, July 15, 2016.
• Resigned as restricted free agent to one-year, two-way contract with Blues, July 22, 2017.
• Resigned as restricted free agent to one-year, two-way contract with Blues, July 6, 2018.
• Resigned as restricted free agent to two-year, $8.8 million contract with Blues, July 13, 2019.
• Signed to six-year, $36.0 million contract extension (through 2026-27 season) with Blues, March 11, 2021.

• Played for Atlantic Division in 2018 American Hockey League All-Star Game, January 29, 2018.
• Member of Stanley Cup champion St. Louis Blues, June 12, 2019.

• Jordan made his National Hockey League debut on January 14, 2016, at the Scottrade Center in St. Louis. Backing up Brian Elliott, Binnington entered the game midway through the third period with the score 3-0 for visiting Carolina. Binnington faced four shots, allowing a goal to the Hurricanes' Riley Nash, in the 4-1 loss.

• Left game with injury, May 21, 2022. Just 6:45 into the third game of the Western Conference semifinal series between St. Louis and Colorado, Binnington was hit by teammate Calle Rosen and opposing forward Nazem Kadri, and was replaced by Ville Husso for the remainder of the contest.

• On December 21, 2016, Jordan was ejected from the Chicago (AHL) loss in Rockford. At 18:53 of the third period, Binnington received a minor penalty for unsportsmanlike conduct, a major penalty for fighting, and a game misconduct.
• Assessed match penalty, March 15, 2023. At 12:25 of the second period in St. Louis' home game against Minnesota, Binnington was ejected after he left his crease and went after the Wild's Ryan Hartman, who tripped over the Blues goalie's leg while celebrating his first goal, which gave the Wild a 5-4 lead. Minnesota goaltender Marc-Andre Fleury then left his crease in an attempt to get at Binnington, but the officials did not let it happen. Binnington was subsequently suspended for two games by the National Hockey League.

• On December 16, 2017, Jordan was ejected from the Providence - Hershey AHL game for fighting with counterpart Pheonix Copley.
• On April 7, 2021, Jordan stopped 50 of 51 Vegas Golden Knights shots in a 3-1 St. Louis victory.