Brady Street began its existence as Ducking Pond Lane, a short pathway to the ducking pond which stood at the junction with Ducking Pond Row (later Buck’s Row). By 1800 it had been renamed North Street and was extended northward as Upper North Street during the early 19th century.
The entire thoroughfare was renamed Brady Street on 7th May 1875.

Brady Street Dwellings were built on the western side of the street, to the north of Buck’s Row / Durward Street, in 1889-90. The buildings were demolished in 1979.

Much of Brady Street now consists of early-mid 20th century estates. Mocatta House was built in 1905 by the Four Per Cent Industrial Dwellings Company and was converted into flats in 1980. Much of the southern end is dominated by a Sainsbury’s superstore (1990s, new additions 2010) and Swanlea School (1994). The Roebuck public house, formerly a beershop, stood at No.27 at the corner with Durward Street and was demolished in 1995 to make way for Kempton Court.