Ung was born in Oslo, Norway. He was the son of Per Ohlsen (1907-85) and Randi Tangen (1905-89). He first trained under Elen Christensen in 1950 and under Torbjørn Alvsåker in 1951. He received his sculptor education under the influential of Per Palle Storm at the Norwegian National Academy of Fine Arts from 1952-55. He became a student of Anthony Caro at St. Martin's School of Art in London in 1960. 
His first large public commission was the statue of actress Johanne Dybwad (bronze. 1959), located on Johanne Dybwads plass outside the National Theatre in Oslo. His monument of figure skater Sonja Henie ( (bronze. 1985) is located at Frogner stadion. His statue of Fridtjof Nansen (bronze. 1993) is placed outside the Fram building at Bygdøy. A monument of the composer Johan Halvorsen (bronze. 2002) is placed outside the National Theatre in Oslo.
Ung was member and served as chairman of the Norwegian Association of Sculptors (Norsk Billedhuggerforening), was a member of the Young Artists Society (Unge Kunstneres Samfund) and served on the Board of Supervisors of Kunstnernes Hus in Oslo from 1967-69. He was granted the Houens legat in 1953, Conrad Mohrs legat in 1958 and 1964, Moltzaus legat in 1957 and Lorch-Schives legat in 1960. He received the Ingeborg og Per Palle Storms ærespris in 1995. In 2007, he was appointed Knight 1st Class in the Order of St. Olav. Per Ung died of cancer in Oslo during 2013 at the age of 80.
- Korsfestet (bronze. 1970) Tasta Church, Stavanger
- Kvinne og måker (bronze. 1974) Etterstad videregående skole, Oslo
- Eros og Psyke (bronze. 1982) Veterinærhøgskolen, Oslo
- Fiskerkone (bronze. 1999) Svolvær
- Otto Sverdrup (bronze. 1999) Sandvika, Bærum
- Fru Fortuna (bronze. 2005) Europarådets plass, Oslo
- Erik Mørstad. "Per Ung". Norsk kunstnerleksikon. Retrieved March 1, 2018.
- Arne Brenna. "Torbjørn Alvsåker". Norsk kunstnerleksikon. Retrieved March 1, 2018.
- "Per Ung". Store norske leksikon (in Norwegian). Oslo: Kunnskapsforlaget. 2007. Retrieved 14 April 2009.
- Kokkin, Jan (2005). "Per Ung". In Helle, Knut. Norsk biografisk leksikon (in Norwegian). 10. Oslo: Kunnskapsforlaget. Retrieved 14 April 2009.
- "Norges fremste billedhugger er død". Aftenposten (in Norwegian). 21 June 2013.
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