Huck is an ethnic Bosniak, born in Serbia, who moved to Germany with his family when he was eight years old, and has since become a naturalized citizen.

[4] Huck has notable victories over opponents such as Michael Simms, Claudio Rîșco, Pietro Aurino and Vadim Tokarev.

[5] Huck won the EBU (European) cruiserweight title in September 2008 after defeating Jean Marc Monrose via a 12th round stoppage win.

[6] Huck made three successful defences defeating Fabio Tuiach, Geoffrey Battelo and Vitaliy Rusal, with all coming inside the distance.

On 29 August 2009, Huck challenged Argentine boxer Victor Emilio Ramírez for his WBO cruiserweight title at the Gerry Weber Stadium in Halle, Germany.

[7] Huck went on to make 8 successful defenses of the title from December 2009 up until October 2011. Notable opponents he defeated included unanimous decisions over Ran Nakash and Ola Afolabi, the latter who he went on to fight a further three times, TKO wins over Matt Godfrey and Brian Minto and a split decision win over future unified world champion Denis Lebedev.

In December 2011, a deal was reached for Povetkin to make his second defence against Huck on 25 February 2012 at Porsche Arena in Stuttgart, Baden-Württemberg.

[8] Huck stated if he was to win the title, he would likely remain at heavyweight to challenge one of the Klitschko brothers, but would be given 10 days by the WBO to decide.

Huck made a ninth successful defence on 5 May 2012 at the Messehalle in Erfurt, Germany against Ola Afolabi (19-2-3, 9 KOs), a rematch to their first match which took place in 2009.

The match ended in a majority draw as judge Ingo Barrabas and Paul Thomas had it 114–114 and Zoltan Enyedi scored it 115–113 in Huck's favour.

[23] Huck next defended his title against German boxer Firat Arslan (32-5-2, 21 KOs) at the Gerry Weber Stadium in Halle, Nordrhein-Westfalen on 3 November.

The fight went the full 12 round distance with Huck claiming the majority decision thus successfully retaining the title an 11th time.

[26] On 25 January 2014, Huck made a defence fighting Firat Arslan for a second time at the Hanns-Martin-Schleyer Halle in Stuttgart.

The bout took place on 14 August 2015 in Huck's American debut at the Prudential Center in Newark, New Jersey, on Premier Boxing Champions.

The fight continued, and it was becoming more and more clear that Huck was taking control, he hit Głowacki with a huge punch in the tenth but his opponent survived.

Referee Jack Reiss stopped the fight on doctor's advice due to the bad condition of Afolabi's left eye.

[31] Huck was scheduled to defend his IBO world title against British boxer Ovill McKenzie (25-12-1, 13 KO's) at the Festhalle Arena in Frankfurt on 24 September.

[33][34] On 18 October, it was announced that Huck would be defending his IBO title against Ukrainian boxer Dmytro Kucher (24-1-1, 18 KOs) on 19 November at the TUI Arena in Hanover.

Kucher, ranked number 6 by the WBC, was regarded a dangerous first defence, having only lost to world cruiserweight challenger Illunga Makabu.

Kucher was coming off an impressive first-round knockout off former WBO champion Enzo Maccrinelli in June, also sending him into retirement.

Huck hurt Kucher in the 8th round after landing a hard right hand and then attempted to finish him off, but could only throw him on the canvas.

[45] On 27 June 2017 Huck announced that he would be participating in the World Boxing Super Series 8-man tournament which would start in September 2017.

[46][47] At the Draft Gala, Oleksandr Usyk (12–0, 10 KOs), who was first-seeded, meaning he had the first pick of the tournament, chose to fight Huck in the quarter finals.

We were born on the same day and I admire Ali because he is the biggest role model in boxing and I will thank God if I win a trophy with his name on it.

Usyk continued to land combinations with little to no response from Huck until referee Robert Byrd stopped the fight in the tenth round.

With the win, Usyk progressed to the semi-final stage of the Super Series and is slated to face the winner of the Mairis Briedis–Mike Perez fight.

[54][55] On 12 October 2017, Huck told German tabloid BILD, that he would not be retiring from the sport, but rather continue his career in 2018 campaigning once again at heavyweight.

[58] On 9 April, 41 year old Turkish-born German boxer Yakup Saglam (40-4-0, 37 KOs) was announced as Huck's opponent.