In 2016, Jones was acquired by the
Connecticut Sun after having her draft rights traded by the
Los Angeles Sparks in exchange for
Chelsea Gray and two draft picks. In her rookie season, Jones was the backup center for the Sun. She averaged 6.8 ppg, 3.7 rpg and 1.1 bpg in 34 games with 6 starts. In 2017, Jones became the starting center for the Sun and had a breakout second season. After an 0–4 start, Jones led the Sun to their first win of the season, scoring 23 points along with 21 rebounds in a 97–79 win over the
Chicago Sky, making her the 13th player in league history to record a 20-point, 20-rebound performance. On July 8, Jones scored a team-high 22 points and 9 rebounds as the Sun completed the biggest comeback in franchise history, defeating the
Washington Mystics 96–92 after overcoming a 22-point deficit. Jones was selected to the
2017 WNBA All-Star Game, her first career All-Star Game appearance. She finished the season averaging a double-double in points and rebounds and also averaged career-highs in scoring, rebounding, and blocks. She broke the single season record for rebounds with 403, breaking
Tina Charles previous record of 398 (the record would be broken again by
Sylvia Fowles in 2018). Jones was selected to the
2017 WNBA All-Star Game and received the
WNBA Most Improved Player Award. Her breakout performance, along with teammates
Jasmine Thomas and
Alyssa Thomas emerging as All-Stars, led the Sun to the playoffs as the fourth-seeded team. They received a bye to the second-round elimination game, where Jones scored 19 points and grabbed 15 rebounds in an 88–83 loss to the number 5-seeded
Phoenix Mercury.In 2018, Jones would have a reduced role on the team despite her success from last season. She started in 16 of the 34 games played but would still effective for the Sun both in the starting lineup and off the bench. By the end of the season, Jones won the WNBA Sixth Woman of the Year award. The Sun made it back to the playoffs as the number 4 seed with a 21–13 record, receiving a bye to the second round. However the Sun would lose yet again to the Phoenix Mercury in the second round elimination game by a final score of 96–86. In 2019, Jones would redeem her starting Center role for the whole season. She would lead the league in rebounds once again and averaged a career-high in blocks, steals and minutes by the end of the season. Jones was also voted into the
2019 WNBA All-Star Game, making it her second all-star appearance and would also make WNBA Second Team. The Sun were a championship contender in the league, finishing with a 23–11 record and the number 2 seed, receiving a double bye to the semi-finals. In the semi-finals, the Sun swept the
Los Angeles Sparks 3–0 to advance to the WNBA Finals, making it the franchise's first Finals appearance since 2005, and Jones' first career Finals appearance. The WNBA Finals series was a hard-fought battle, but the Sun fell to the
Washington Mystics in five games. In June 2020, Jones announced that she would sit out the WNBA season due to the
COVID-19 pandemic. In 2021 Jones returned to the WNBA and led the Sun to the best record in the league; she additionally was averaging a career high in every major statistic before reporting to the
FIBA Women's Eurobasket to represent the
Bosnian women's national basketball team. When she returned the Sun, the team went back to being the top team in the league and closed out the season with a 14-game winning streak, leading to a record of 26–6 and the best record in the league. Jones averaged a career-high in points and assists, with averages of 19.4 points, 11.2 rebounds, 2.8 assists, 1.3 steals, and 1.3 blocks, and was named the 2021 WNBA MVP nearly unanimously. Jones also made WNBA All-Defensive First Team and nearly won the DPOY award. With winning MVP Jones became the first player in WNBA History to win MVP, Sixth Woman of the Year and WNBA Most Improved Player Award. During the offseason prior to the
2023 WNBA season, Jones requested a trade out of Connecticut and was dealt to the
New York Liberty on January 17, 2023. She was named the MVP of the 2023 Commissioner's Cup, winning it for the New York Liberty with 16 points and a game-high 15 rebounds. In the ensuing
2023 WNBA Playoffs, she confronted and eliminated her former team in the semifinal round, three games to one. In the 2024 season, she was named
WNBA Finals MVP after scoring 17 points in the final Game 5 overtime game, in which the Liberty defeated the Minnesota Lynx 67-62. ==Overseas career==