|1976 Montreal||Coxless four|
|World Rowing Championships|
|1970 St. Catharines||Coxed four|
He received a silver medal in coxless four at the 1976 Summer Olympics in Montreal, together with Ole Nafstad, Rolf Andreassen, and Arne Bergodd. He also competed at the 1972 Summer Olympics, and won a bronze medal at the 1970 World Championships.
By profession, Tveter was a jurist. He worked in the Norwegian Consumer Council, as a lawyer, and chaired the Bankklagenemnda from 1988 to 1997. From 1997 on he was the director of the Norwegian Association of Real Estate Agents.
- "1976 Summer Olympics – Montreal, Canada – Rowing" Archived 17 September 2008 at the Wayback Machine (Retrieved on 12 May 2008)
- Hallset, Morten (13 December 2008). "Hårda bud". Budstikka Pluss.
- Rowing: World Championships: Men: Coxed Fours at Sports 123