Jones started his professional career in the American Hockey League (AHL) with the Manchester Monarchs and made his NHL debut in 2013, where he spent two seasons with the Kings as backup to Jonathan Quick.

He led the Sharks to their first Stanley Cup Finals appearance in franchise history in 2016, and was chosen to play in the NHL All-Star Game in 2017.

[4] Jones attended Handsworth Secondary School [citation needed] and played ice hockey at the North Shore Winter Club.

[12] In advance of his second consecutive appearance in the championship series, the league named him the winner of the Del Wilson Trophy as the WHL's top goaltender.

[22] He shut out the Montreal Canadiens in his next game, making him the first Kings goaltender to do so, and the second Los Angeles rookie to record consecutive shutouts, matching Gerry Desjardins, who did it in 1968–69.

[24] On June 26, 2015, Jones, set to become a restricted free agent on July 1, was traded to the Boston Bruins, along with Colin Miller and a first-round pick in the 2015 NHL Entry Draft (13th overall, Jakub Zbořil), in exchange for forward Milan Lucic.

[25] In turn, the Bruins traded Jones to the San Jose Sharks on June 30 in exchange for Sean Kuraly and a 2016 first-round pick.

[31] A six-game winning streak in November was snapped by a loss to the Edmonton Oilers, and even during this stretch, Jones maintained a .891 save percentage.

[35] When the NHL announced that it would not finish the regular season, but would immediately begin the 2020 Stanley Cup playoffs using the 24 highest-ranked teams in the league, the Sharks, who had the worst record in the Western Conference, were not invited to the postseason.

[37] On February 11, however, an unspecified injury to Dubnyk forced Jones to take over as the primary goaltender for San Jose, with rookie Alexei Melnichuk called up from the AHL as his backup.

[42] On July 13, 2022, as a free agent from the Flyers, Jones inked a one-year, $2 million contract with the Seattle Kraken for the 2022–23 season.

[43] Jones would earn his 200th career NHL win on October 21, 2022, against the defending Stanley Cup champion Colorado Avalanche, making one save in his appearance after entering the game in relief after injury to Philipp Grubauer.

As a free agent for the third consecutive offseason, Jones was signed to a one-year, $875,000 contract with the Toronto Maple Leafs on August 9, 2023.