Career
First elected to the Faroese parliament in 1980 and consecutively since then, Kallsberg served as Fisheries Minister from 1983 to 1985 and for 5 months in Jógvan Sundstein"s first coalition government in 1989, and as Economics and Finance Minister from 1996 to 1998 in a coalition led by Edmund Joensen (Union Party). He was Speaker of the Løgting 1991–1993. Kallsberg became Prime Minister of the Faroe Islands on 15 May 1998 in a coalition formed by the People"s Party, Republican Party and the Self-Government Party.
His first administration aimed for economic and legal independence of the Faroe Islands and started a process of assuming various governmental sectors from the Danish government.
Likewise, Denmark set up a plan to grant full sovereignty to the Faroe Islands. In 2002 the coalition went through parliamentary elections that resulted in the entry of the Center Party into the government, which was the second cabinet of Anfinn Kallsberg.
In 2005 Kallsberg was elected as one of two Faroese citizens to represent the islands in the Danish Parliament.