The commission issued by the Organisation for the Development of Administrative Centres (ODAC), an agency of the Libyan government, will initially provide facilities for around 28,400 students.
Two premises will be built at coastal locations near Tripoli, one is situated in the mountainous region of Gharyan, and four will be built in the Sahara Desert.
Each of the seven universities will be located in vastly differing environments, and according to BDP the design plans for each building have to take this into account.
The designs for each building will accommodate the different environmental considerations, although the overall scheme intends for each site to represent a "variation on a theme".
Construction is scheduled to take place between 2008 and 2010.
BDP has previously designed the architecture for several British universities including York, Birmingham, Glasgow, Newport, Worcester and City University.