It was located in south-west rural New South Wales, and included the towns of Broken Hill, Griffith, Hay and Narrandera.
Its name indicated its relationship with Riverina and the seat of Darling, abolished in 1969.
Riverina-Darling had a notional Labor majority on its creation.
However, it included most of the old Riverina, and was thus a natural choice for that seat's member, Noel Hicks of the National Party, to transfer for the 1984 election.
Broken Hill was transferred to Parkes, while most of its remaining territory became a recreated Riverina, which became a safe National seat as a result.