Currently both universities receive funding from the Government for full-time and part-time students from the European Union.
The educational institutions have assured students and staff that nothing will change immediately as the Government now enters a period of negotiations.
University of Nottingham's vice-chancellor, professor Sir David Greenaway, said that "leaving the EU will not happen overnight" and that it will be a "managed exit process with significant opportunities for universities to seek assurances from Government on its continued support of our world-leading education sector".
Equally the vice chancellor of Nottingham Trent University, professor Edward Peck, referring to the economic benefits of EU membership stressed that "NTU will be working with other universities during the coming months to ensure that the final exit settlement as far as possible continues these benefits".
The National Union of Students recently said that it was "disappointed" by the outcome of the vote, particularly given the high proportion of younger voters who are reported to have voted Remain.