Ole Christian Eidhammer placed second at the 1984 Norwegian Championships on the normal hill, was third at Holmenkollen that year, and was selected for the Sarajevo Olympics, where he placed 18th on the big hill. At the 1987 World Championships in Oberstdorf he won a silver medal in the team jumping. In 1988 he won another national championship silver medal on the big hill, and was selected for the Calgary Olympics, where he won a bronze medal as a member of the Norwegian team jumping team. He ended his ski jumping career after the 1990 season. Eidhammer studied engineering in Trondheim, and settled there, working as a building engineer.