The street was developed in the late 17th century by the landowner Sir William Pulteney.
The scheme was planned by architect, Arthur Cates to include shops at ground level with artisan dwellings above.
One section's facade has been replaced because of World War II bomb damage.
Walker's Court, opposite Rupert Street is a remnant of the old layout.
It was opened in 1929 as Lex Garage and is one of the oldest surviving car parks of its type in England.