With a modernist practice based in Cambridge, he also designed many city housing projects, schools, and private residences.
Roberts married architect Margaret MacDonald Baird, and they settled in Cambridge where they built their house at 11 Wilberforce Road.
Their only son, Nicholas Wyn Roberts, born in 1948, became an architect and professor of architecture at Woodbury University in Los Angeles.
He influenced many students and employees who became scholars and architects, including Anthony Vidler, Lionel March, Nicholas Ray, Cedric Price, and John G. Ellis.
Rory Spence wrote in the catalogue, David Roberts Architect, "He seemed to approach each job with fresh enthusiasm and great integrity.