The winning scheme will sit within a masterplan by Chapman Taylor for the area once occupied by the Brutalist shopping centre and adjacent to a series of new buildings by van Heyningen and Haward.
The competition, launched at the end of last week, is to find designs for a tower building that will mark the entrance to a new commercial area called the Northern Quarter.
The shortlisted practices will be asked to answer a concept brief in the next stage and those selected will be invited to present their schemes in late July.
Construction of the competition winner is expected to start in 2007, with completion scheduled for autumn 2009.
Expressions of interest should be sent in writing to: Centros Miller, Albemarle House, 1 Albemarle Street, London W1S 4TB.
The closing date for competition registration is 7 July 2006.