Like his older brother Fritz, Herbert Huber came to ski racing through his father. In the winter of 1965 he achieved his first victories in FIS races in Lebanon and in 1966 he achieved second places in the slalom of Mürren and in slalom and combination of Hemsedal . In February 1966 he became Austrian champion in slalom and runner-up in combination and not least secured a starting place for the 1966 World Cup in Portillo in the summer . There he was eliminated in the first slalom run.
In the first World Cup race in history, a slalom on January 5th, 1967 in Berchtesgaden , Huber achieved eighth place. After further top 10 results, he stood third in the Franconia slalom on the winners' podium for the first time on March 11 and celebrated his first World Cup victory two weeks later in the Jackson Hole slalom. He was sixth in the Slalom World Cup and eighth in the overall World Cup in the 1967 season. In the 1968 season, Huber initially achieved several top 10 results in the World Cup. At the 1968 Winter Olympics in Grenoble , which also counted as a world championship, he finished third in slalom behind Karl Schranz and Jean-Claude Killy . After Schranz was disqualified, Huber won the silver medal. In March and April he won two giant slaloms in Rossland and Heavenly Valley and two second places in the slaloms of Aspen and Heavenly Valley. In his most successful World Cup season - the Olympic Games were also part of the World Cup - he came third in the overall and giant slalom world cup and fourth in the slalom world cup, both as the best Austrian. In addition, he became Austrian slalom champion for the second time in 1968.
In the 1968/69 season , Huber did not win, but made it into the top ten in eight of the nine World Cup slaloms, and was on the podium three times in second and once in third, five points behind the four ex-aequo first-placed winners in the Slalom World Cup Jean-Noël Augert , Patrick Russel , Alfred Matt and Alain Penz took fifth place. In the giant slalom, however, he only achieved two tenth places, which is why he also fell back to tenth place in the overall World Cup. In the 1969/70 season Huber only achieved points in the races in Lienz in December. He finished ninth in giant slalom and second in slalom. After that, he never finished in the top ten in any World Cup races.
On July 15, 1970, Huber, who suffered from depression and after the qualifying race for the 1970 World Cup slalom (on February 7, one day before the actual competition - he only had a second round against a so-called exotic ski, committed Romania enforced) had suffered a nervous breakdown , suicide in his apartment in Kitzbühel . He was buried at the Kitzbühel city cemetery in the Huber family grave.