Robert William Ludovic Lindsay OBE (18 August 1905 – 6 September 2000) was an English-born Australian politician.

An officer of the British Grenadier Guards, he spoke fluent Arabic, and was seconded to the Transjordan Frontier Force in 1930, serving in the Middle East for about four years.

Recalled to service during World War II, he served with the Grenadier Guards in Europe and the Middle East, attaining the rank of brevet major.

In 1954, was elected to the Australian House of Representatives as the Liberal member for the Flinders, defeating Labor's Keith Ewert.

Lindsay was made a member of the Order of the British Empire in 1971.