[3] Albert Popov was born in Sofia and made his debut in the FIS Alpine Ski World Cup in 2014, aged just 17.

He was one of two passengers in a vehicle driven by Drago Grubelnik, then head coach of the Bulgarian ski team, who was also accompanied by his assistant Mitko Hristov.

On 6 February 2018, Popov won a bronze medal in the giant slalom at the 2018 FIS Junior World Ski Championships in Davos.

[8][9] Three days later he reached another milestone, finishing 6th at Schladming, his country's highest placement since Popangelov's 6th place at Park City during the 1984–85 season.

[14] On 8 January 2025, he made a remarkable comeback in the second run, securing his first World Cup race victory in the classic 3-Tre night slalom at Madonna di Campiglio.