Pete Mercer, NUS national vice-president, said: "Students are struggling to make ends meet and this is having a real impact on their wellbeing and their education.
"It's great that these institutions have already joined our campaign and I hope that others will soon follow suit."
However a spokesman from the Consumer Finance Association, which represents all major short-term lenders, said the NUS was "denying choices to its members" without fully understanding the industry or the way students manage their finances in 2013.
We expect that the total number of full-time students in higher education this year will be bigger than in any year before 2010.
Therefore this shows the benefits of our reforms coming through already. More students are going to their first choice institution. Moreover, acceptance rates for applicants from disadvantaged areas increased this year.
Our reforms are helping students to make well-informed choices using better information.
– David Willetts, Universities and Science Minister
Drop in university starters 'a failure of Government policy'
Fewer students at UK universities represents the failure of the Government's higher education policies.
Higher tuition fees forced a scramble for places last year, which simply highlights the unfair nature of the Government's hike in fees.
If we are to open up university to our most talented people, we need to remove punitive financial barriers.
– Sally Hunt, University and College Union general secretary
The Tory-led Government's policy to raise fees to #9,000 has put a brake on aspiration and has led people considering applying to university to decide against doing so at precisely the time that higher-level skills have never been more important to secure their future."
– Shabana Mahmood MP, Labour's shadow higher education minister