The practice, which has a studio in the city, handed in the detailed application for Central Quay last month.
Backed by developer Platform, the scheme on the banks of the River Clyde will provide 500 apartments.
Subject to planning, construction could begin in the first half of 2019 and complete by summer 2021.
Keppie and LDA Design’s masterplan for the broader Central Quay development received planning consent in principle earlier this year. It includes 27,500m² of office space and a 150-room hotel.
Central Quay will feature studios, one, two and three-bedroom homes, plus a co-working space, a residents’ lounge, roof terraces, a gym and a games room.
Keppie Design director Richard MacDonald said: ‘The design has evolved to include an iconic feature tower, which will greatly enhance the Clyde waterfront and Glasgow’s skyline. The high-quality public realm and design of the scheme will also significantly improve the area.
‘We look forward to being able to play a role in sustaining Glasgow’s image as a destination city for living and working and being able to further contribute to Glasgow’s Clydeside regeneration drive.’
Platform development director Matt Willcock added: ‘Build-to-rent is a rapidly growing concept around the UK and we’re proud to offer one of the first developments in Scotland. It’s a form of accommodation we expect to continue to see across the UK, and one which will play a significant role in helping Glasgow attract and retain talent to support its major economies.’