Work will include façade glazing and cladding along with steel framing systems and a PermaQuick hot melt waterproofing system to the roofs and podium.
Made up of six new neighbourhoods, The Timberyard Deptford has been cleverly designed to feature open-planned architecture.
Cedarwood Square is Plot 2 of the project, and comprises five separate blocks.
Prater is set to start onsite in May.
Shane Blackett, Pre-Contracts Manager at Prater said: “A collaborative working ethos plays a fundamental role in our ability to deliver high quality work on major project such as this.
“Once again, we are delighted to be working with Lendlease and look forward to work getting underway very shortly.”