The American Concrete Institute awarded Newmark the Wason Medal for Most Meritorious Paper in 1950. In 1968, he was recipient of the National Medal of Science for Engineering Sciences. He was elected Fellow of the American Academy of Arts and Sciences (1962), and received the 1979 John Fritz Medal and several other awards. The American Society of Civil Engineers has named a medal after him, which is awarded "to a member of the American Society of Civil Engineers who, through contributions in structural mechanics, has helped substantially to strengthen the scientific base of structural engineering." In 1964 he contributed to the founding the National Academy of Engineering (NAE) and two years later became a member of National Academy of Sciences (NAS).