"I'm not in favour of mounting a strong protest by not being there," Erna Solberg told the VG newspaper. "I do not think it provides a better basis for dialogue with anyone."
On Tuesday, the US announced that no major politicians would be attending the event, with President Barack Obama instead sending two openly gay Americans to represent the country, the tennis player Jean King and the hockey player Caitlin Cahow.
France's President François Hollande and Germany's President Joachim Gauck have both also said they will not attend the games.
Solberg told the paper that Norway frequently brought up human rights issues such as gay rights in its meetings with Russian officials.