Jozef Regec was a solid road racer for Czechoslovakia, and later Slovakia, during an international career that lasted from 1986-98. Regec competed at the 1988 Olympics in both the road race and team time trial, and competed in the team time trial at the 1987 and 1991 World Championships, helping Czechoslovakia place ninth both times. He rode the Peace Race four times (1986-89), with a best finish of seventh in 1986. He never managed any major titles but was runner-up at the Grand Prix François Faber in both 1987 and 1992, and was second at the 1988 Czechoslovakian Championship in the road race. His other major podium finishes were third places at the 1989 Tour de Loir-et-Cher, the 1997 Weinland Pokal race, and at the 1998 Lavanthaler Radsporttage. Regec competed three times each in the Tour of Austria and the Uniqa Classic, with minimal success, and in 1993, rode the Vuelta a España as an amateur. In 2010, Jozef Regec was elected Slovakian senator as a member of the Czech Social Democratic Party (KDU-CSL).