Rødby is a town, with a population of 1,957, located on the island of Lolland in Denmark. It was the seat of the former Rødby Municipality…Rødby is a town, with a population of 1,957, located on the island of Lolland in Denmark. It was the seat of the former Rødby Municipality. The former Rødby municipality covered an area of 120 km², and had a total population of 6,590. Its last mayor was Hans Ole Sørensen, a member of the Venstre political party.