Robert Scott Alexander, Baron Alexander of Weedon, QC (5 September 1936— ) is a British barrister and Conservative politician. He is chairman of the Royal Shakespeare Company.

Alexander was Chairman of the Bar Council 1985-86. He served as Chairman of the NatWest bank 1989-99 and has been a Director of other companies. He is a member of the Government's Panel on Sustainable Development and Chairman of the Royal Shakespeare Company since 2000.

Alexander was created a life peer as Baron Alexander of Weedon, of Newcastle-under-Lyme in the County of Staffordshire in 1988. He sits on the Conservative Party benches.