The tower will rise to 37 floors, which will be a more modest office building compared to the scale of some of the more ambitious plans unveiled for the Square Mile.
Architect Make has designed the 183m tower that will boast a public galley with views over Leadenhall Market.
The existing seven storey building on the 1 Leadenhall site, known as Leadenhall Court will be demolished over six months once approval is obtained.
Under present plans work could start on the new tower as early as March 2018.
Brookfield has gone out to public consultation with the plans ahead of submitting for planning later in the Summer in the hope of gaining approval at the end of this year.