The American will take up his new role later this year with responsibilities involving the planning, management and oversight of all services to athletes and officials.
His brief includes developing the sports programme, venue and athletes' village development, as well as fit-out, accreditation, medical services, technology, ceremonies and cultural activities and support services such as transport and security.
Grevenmberg, a graduate of Georgia State University, will also have responsibility for time and cost management of operations leading up to and during the Games.
Grevemberg leaves his role as Executive Director of Sport and IF Relations at the IPC, where he has worked for 10 years.
Before joining the IPC he was the national competition director for Disabled Sports USA.
Grevemberg's responsibilities at the IPC included the oversight of all activities associated with the development and delivery of the Paralympic Games sports programmes.
He is the second foreigner to be appointed to a key role at the Glasgow Games.
Last year Australian Kate Randall was appointed as the director of Games Family Services.
John Scott, the chief executive of Glasgow 2014, said: "I am absolutely delighted that David has decided to join the team at Glasgow 2014.
"Our ambition is to host an outstanding, athlete-centred Games and David's long experience in the highest echelons of world sport will help us enormously in achieving that ambition."