With the advancement of Information and Communication Technology ICT which favors increasingly fast, easy, and accessible communication for all and which can reach large groups of people, there have been changes, in recent years in our society that have modified the way we interact, communicate and transmit information. Access to this, it is possible, not only through computers situated in a fixed location, but new mobile devices make it available, wherever the user happens to be located. Now, information "travels" with the user. These forms of communication, transmission and access to information, have also affected the way to conceive and manage business. To these new forms of business that the Internet has brought, is now added the concept of companies in the Cloud Computing ClC. The ClC technology is based on the supply and consumption of services on demand and pay per use, and it gives a 180 degree turn to the business management concept. Small and large businesses may use the latest developments in ICT, to manage their organizations without the need for expensive investments in them. This will enable enterprises to focus more specifically within the scope of their business, leaving the ICT control to the experts. We believe that education can also and should benefit from these new philosophies. ?Due to the global economic crisis in general and each country in particular, economic cutbacks have come to most universities. These are seen in the need to raise tuition rates, which makes increasingly fewer students have the opportunity to pursue higher education?. In this paper we propose using ClC technologies in universities and we make a dissertation on the advantages that it can provide to both: universities and students. For the universities, we expose two focuses, one: ?to reorganize university ICT structures with the ClC philosophy? and the other one, ?to extend the offer of the university education with education on demand?. Regarding the former we propose to use public or private Clouds, to reuse resources across the education community, to save costs on infrastructure investment, in upgrades and in maintenance of ICT, and paying only for what you use and with the ability to scale according to needs. Regarding the latter, we propose an educational model in the ClC, to increase the current university offerings, using educational units in the form of low-cost services and where students pay only for the units consumed on demand. For the students, they could study at any university in the world (virtually), from anywhere, without travel costs: money and time, and what is most important paying only for what they consume. We think that this proposal of education on demand may represent a great change in the current educational model, because strict registration deadlines disappear, and also the problem of economically disadvantaged students, who will not have to raise large amounts of money for an annual tuition. Also it will decrease the problem of loss of the money invested in an enrollment when the student dropout. In summary we think that this proposal is interesting for both, universities and students, we aim for "Higher education from anywhere, with access from any mobile device, at any time, without requiring large investments for students, and with reuse and optimization of resources by universities. Cost by consumption and consumption by service?. We argue for a Universal University "wisdom and knowledge accessible to all