Thys was born in Antwerp and started his career in the 1940s and 50s as a football player with Beerschot, Daring Molenbeek and Standard. In 1952 and 1953 he played two matches with the Red Devils, the Belgium national team.
He combined the activities of player and trainer for Cercle Brugge from 1954 until 1958. In 1959 he performed the same functions for Racing Lokeren. He became a full-time trainer with Wezel the same year, followed by Herentals, Beveren, Union Sint-Gillis, and Antwerp. Under Thys' leadership Antwerp was a finalist in the Belgian Cup and twice finished second in the championship. Thys was appointed Belgium manager in 1976 and remained in the job until 1989, managing the team for 101 games, 45 of which were victories. Eight months after stepping down as manager Thys was re-appointed in early 1990 in order to take charge of the team for the 1990 World Cup. The side duly qualified through the group stage and was knocked out by the England national team in the second round of the tournament. Thys retired again in 1991.
Under his lead the Red Devils participated twice in the European Championship, and three times at the World Cup. In 1980, Belgium narrowly lost the European Championship final to Germany in Rome. In the opening game of the 1982 World Cup, Belgium surprised the world by beating the reigning world champions Argentina 1–0. In 1986 Belgium finished fourth in the World Cup in Mexico. His team beat Spain and the Soviet Union, but was defeated by Diego Maradona and his Argentine team in the semi-finals.