He was traded to the Dallas Mavericks, where he played briefly before other short stints with the Cleveland Cavaliers and Los Angeles Lakers.

As a child, he patterned his basketball game after Toni Kukoč, a Croatian NBA player who spent the majority of the 1990s playing for the Chicago Bulls.

In response to this setback, Bogut began to improve his game with the help of Siniša Marković,[5] a professional basketball player from Yugoslavia.

[8] He later joined the U-19 Australian junior national team, and was named the most valuable player of the 2003 FIBA Under-19 World Cup, in Greece, after leading the Emus to the title.

[10] As a sophomore in 2004–05, Bogut started all 35 games for the Utes, leading them to a 29–6 record, the Sweet 16 of the NCAA Tournament, and a Mountain West Conference championship.

Bogut's second season in the league was cut short after he sprained his left foot and was put on the injured reserve for the final 15 games.

That night, in a game against the Phoenix Suns at the Bradley Center, Bogut had a chance to score on a fast break attempt.

[16] The next day, Bogut was diagnosed with a broken hand, dislocated elbow and sprained wrist, injuries that kept him out of for the remainder of the 2009–10 season.

[17] In what was a breakout season for Bogut, he finished with averages of 15.9 points, 10.2 rebounds and 2.5 blocks per game, earning All-NBA Third Team honours, becoming first Bucks player named to the squad since Michael Redd in 2003–04.

[21] On 13 March 2012, Bogut and Stephen Jackson were traded to the Golden State Warriors in exchange for Monta Ellis, Ekpe Udoh and Kwame Brown.

He received Regenokine treatment to aid his recovery in late November,[23] and it was also revealed that his procedure in April was more serious microfracture surgery than previously thought.

[21] Bogut returned on 28 January 2013, recording 12 points, 8 rebounds, 2 assists and 4 blocks in a road win over the Toronto Raptors.

Disappointed in the way he ended the 2014–15 season, Bogut removed all processed sugars from his diet during the 2015 off-season and subsequently came into training camp in October 2015 with improved athleticism, having dropped 10 kilograms.

[29] On 9 February 2016, Bogut had a season-best game with 13 points, 11 rebounds, three steals and a season-high six blocked shots in a 123–110 win over the Houston Rockets.

Bogut made his debut for the Mavericks in their season opener on 26 October 2016, recording six points, six rebounds, three assists and one block in a 130–121 overtime loss to the Indiana Pacers.

[37] On 23 February 2017, Bogut was traded, along with Justin Anderson and a protected first-round pick, to the Philadelphia 76ers in exchange for Nerlens Noel.

[45] He made his debut for the Lakers in their season opener on 19 October 2017, committing three fouls and three turnovers in a 108–92 loss to the Los Angeles Clippers.

[48] On 24 April 2018, Bogut signed a two-year deal with the Sydney Kings of the Australian National Basketball League.

[49] At the conclusion of the 2018–19 regular season, Bogut was named the NBL Most Valuable Player after averaging 11.6 points per game to go with 329 rebounds, 98 assists and 77 blocked shots.

Bogut rejoined the Sydney Kings for the 2019–20 NBL season and helped them win the minor premiership with a first-place finish and a 20–8 record.

[59][60] Bogut started for the Boomers at the 2004 Athens Olympics, averaging 13.7 points, 9 rebounds and 1.2 blocked shots and shooting 58.0% from the field.

In 2012, he was unable to play for the Boomers in the London Olympics, as he had previously broken his left ankle in January during the 2011–12 NBA season.

[61] On 14 July 2015, Bogut was named in the Australian Boomers squad for their European tour and the 2015 FIBA Oceania Championship.

[62] The following year, he was a member of the Boomers team that finished in fourth place at the 2016 Olympic Games in Rio de Janeiro.

[63] In November and December 2016, on Twitter, Bogut made a series of tweets in which he implied he believed elements of the Pizzagate hoax were real.

[64] At the time, the hoax had rapidly evolved into an elaborate conspiracy theory that ostensibly involved child sex trafficking, Hillary Clinton, political strategist John Podesta and other Democrats, and it was supposedly centred in the (actually nonexistent) basement of a Washington, D.C., pizza parlor.

[66][67][68][69] Bogut also claimed in his post that he had been approached to promote public health measures for money but declined, further stating without significant evidence that many other unnamed Australian celebrities were supposedly being compensated for urging that the public adhere to pandemic control measures despite many celebrities not being subject to the same rules as the working class.

[71] On 15 December 2024, Bogut posted a photo on one of his social media accounts which shows him hugging controversial singer Marko Perković whose songs glorify Croatian nationalism and chauvinism, and promote the World War II-era fascist Ustaše dictatorship.