The potentially controversial scheme aims to replace the 1980s Centurion House, which is currently occupying the site, with this nine-storey glass clad office block.
Make has produced an asymmetrical design, which it said is determined by the tight constraints of the world-famous site.
The building curves gently, with a rippling facade that will reflect Wren's Monument built to commemorate the Great Fire of London in 1666.
The new development will also provide an enlarged public space at ground level, and the scheme will have two entrances, one to the office building and the other to a new museum called the 'Monument Experience'.
A landscaped green roof terrace will also be incorporated, which will be shared by both office workers and visitors to the Monument.
A spokesperson from Make said the project was 'highly confidential' and declined to identify the developer or comment further.