The proposed towers will reach 30 and 17 storeys overlooking the Queen Elizabeth Olympic Park and comprise 332 flats.
They are part of Lend Lease's £2 billion mixed-use International Quarter scheme which will also provide offices, a hotel, community facilities and open space across a 22 acre site.
In July, a Starboard Hotels joint venture purchased the hotel site within the Quarter from Lend Lease, with plans for a 275,000 square feet hotel complex.
Lend Lease said in a statement that, subject to planning consent, they are hoping for the new homes in the towers to go on the market early next year.