Daugaard played at youth level for Herfølge BK before moving to Brøndby IF,[2] for whom he represented the Danish under-19 national team.

[3] He signed his first professional contract with Brøndby IF in January 1993, alongside under-19 national teammates Allan Ravn and Ole Puggaard.

He was called up for the Danish under-21 national team in May 1994, and he went on to play 17 matches and score a single goal until July 1996.

[5] When Åge Hareide was appointed new Brøndby manager in January 2000, and for the 2000–01 Superliga season, Daugaard received stiff competition from Swedish players Krister Nordin and Magnus Svensson.

Daugaard eventually reclaimed his starting position in the 2003–04 Superliga season, under new coach Michael Laudrup.