The Flames (44-21-7) are the first team from the Western Conference to clinch. They join the Tampa Bay Lightning from the Eastern Conference as teams with a playoff berth.
Calgary leads the San Jose Sharks by one point for first place in the Pacific Division.
The Flames, 10-5-0 in their past 15 games, have qualified for the playoffs three times in the past five seasons after failing to qualify five straight seasons from 2009-14. In their last appearance, they were swept by the Anaheim Ducks in the 2017 Western Conference First Round.
The Flames have three players with at least 30 goals (Johnny Gaudreau, 34; Matthew Tkachuk, 32; Sean Monahan, 31), and four players with at least 73 points (Gaudreau, 91; Elias Lindholm, 77; Monahan, 76; Tkachuk, 73). Defenseman Mark Giordano has 67 points (14 goals, 53 assists).
Calgary leads the NHL with 105 third-period goals, 17 shorthanded goals and eight wins when trailing entering the third period.
The Flames host the Columbus Blue Jackets on Tuesday (9 p.m. ET; ESPN+, TVAS, SNW, FS-O, NHL.TV).