It encompassed both sides of the northern part of the large lake Randsfjorden.

During the 1960s, there were many municipal mergers across Norway due to the work of the Schei Committee.

The first element is likely the genitive case of an old local river name, Fluga.

[5] The municipal council (Herredsstyre) of Fluberg was made up of 17 representatives that were elected to four year terms.

The party breakdown of the final municipal council was as follows: The mayors of Fluberg:[12]