Božić completed the Seven Summits and is the second European, after Reinhold Messner, to climb the highest peak in the world, Mount Everest, twice.

When he finished elementary school, he moved with his parents and sister to Split, where his father, a winegrower, found a job as a driver.

After finishing high school, Božić worked as an electrician on an ocean liner, but quit his job as soon as he saved enough money to buy climbing gear.

[6] Andrej Štremfelj and Nejc Zaplotnik [sl] reached the summit on 13 May, followed two days later by Stane Belak, Ang Phu and Božić (becoming the 85th through 89th persons to have climbed Mount Everest).

[7][8] On descent, the weather worsened quickly and the team were unable to return to Base Four before dark and were forced to spend the night in a −40 °C (−40 °F) temperature, without tents or sleeping bags, at an altitude of 8,400 metres (27,600 ft).

[10] Although he failed to get to the summit, reaching 8,150 metres (26,740 ft) in a solo climb on the south rock wall, Božić considered his Lhotse effort technically the most demanding and possibly his greatest Himalayan success.

An easier route was used, but the ascent was difficult for Božić because, having caught a bad cold, he suffered from hallucinations, and did not have a full recollection of the events afterwards.

Božić, Viki Grošelj, Carlos Carsolio and Zvonko Požgaj were only able to touch the summit, because standing on it would have been impossible due to high winds.

On the way back, the team got lost in the snowstorm, but ultimately managed to get to base four, where they found Boris Sedej and Boštjan Kekec [sl].

Božić was affected by snow blindness and barely made it to safety, using only the climbing rope to direct himself back to the base camp.

[11] Božić has been photographing and filming his climbing experiences since his ascent to Noshaq in 1975, made into a television documentary Hindukush '75 for RTV Sarajevo.

[20][21] He took part in hundreds of search and rescue operations, most notably in the helicopter evacuation of thirteen dead and injured firefighters from Kornat island in August 2007.