At the 1960 Winter Olympics of Squaw Valley, Stiegler won a silver medal in the giant slalom and took fifth place in the slalom. At the 1964 Winter Olympics of Innsbruck, he took the bronze medal in giant slalom at Axamer Lizum and then won the gold in slalom, edging out American medalists Billy Kidd and Jimmie Heuga. - He became "Austrian sportsman of the Year 1964".