A student asked the Prime Minister "what is your next step in Arab Spring countries?"
He replied: "I am a supporter of the Arab Spring". He said that all countries should be free to follow their own paths, but that he wanted to encourage the "building blocks of democracy" such as rule of law, women's rights and a free press.
One of the students has asked David Cameron why he supported an EU resolution that criticised the UAE for its human rights record.
The student asked why Britain is "putting pressure" on the UAE despite proclaiming that the countries share a strong relationship.
Mr Cameron commented that he was pleased to see that "more than three quarters" of the students in the room were women.
He also said that "nothing is off limits in the relationship we have" and that human rights would be part of their discussions.
The Prime Minister is about to hold a Q&A session with a group of students from Zayed University in Abu Dhabi.
The theme is expected to be about the Arab Spring and human rights.