Bjørn Tveter (born 13 June 1944) is a former Norwegian speed skater.

He competed in the 1500 m event at the 1968 and 1972 Winter Olympics and finished fifth and fourth, respectively.

[1] He won a bronze medal over this distance at the 1968 World Allround Championships, placing seventh overall.

Tveter's younger brother Øyvind was also an Olympic speed skater.

This biographical article about a Norwegian speed skater is a stub.