Grethe Fenger Møller (born 6 November 1941) is a Danish Conservative People's Party politician and lawyer who was elected to the Folketing as a representative of the constituency from 1977 to 1994 and was the Minister of Labour in the first government of Poul Schlüter between 1982 and 1986. She was president of the Danish Women's Society from 1974 to 1981 after previously being on its executive committee and primary board. Møller left politics after being sentenced to probation for 60 days for providing false testimony in court about the Tamil Case and worked as a clerk in the Ministry of Social Affairs' international office until she retired in 2008.