Alberton House stands beside St. Mary's Parsonage and backs onto the River Irwell.  It was designed by the architecural practice of Leach, Rhodes and Walker and built in 1973.  Parts of the building were built on the site of the former Albert Street Police Station, which itself was built on the site of the Albert Street Gas Works. 

In 1992 an IRA bomb, planted in the flower beds outside the neighbouring Cardinal House, exploded causing significant damage to Alberton House.  All of the windows in the building were broken by the blast and apparently when they were replaced a bomb-proof film was applied to them