The firm will demolish Costain’s 1950s former headquarters at 111 Westminster Bridge Road in Waterloo to make way for the 150,000 sq ft scheme.
The portland stone and brick-clad building will consist of 218-room apart-hotel, six office suites, a restaurant and shops.
Adjoining the Grade II listed Necropolis building at 121 Westminster Bridge Road, the hotel rises from seven stories at the front to 10 at the rear.
McAleer & Rushe construction managing director, Martin Magee said: “We are very much looking forward to working in further partnerships with Marlin Apartments on other future projects in both London and Dublin.”