It lies in the town's central Conservation Area immediately between The Crescent, the Old Hall Hotel, the Pavilion Gardens and the Buxton Opera House.

[1] It was built as a series of six grand Georgian town houses from ashlar gritstone with a slate hipped roof.

An arched, covered colonnade walkway at ground level features on both sides of the roadside facade.

[3] The renowned Buxton water physicians Sir Charles Scudamore and Dr William Henry Robertson lived and practised medicine at The Square.

[4] There is a rare Grade-II-listed Victorian Penfold hexagonal post box from 1866 opposite The Square.