"The main findings of the review support the conclusion that membership of, association with, or influence by the Muslim Brotherhood should be considered as a possible indicator of extremism."
Cameron said the UK will continue to refuse visas to Brotherhood members who are on the record as having made "extremist comments" and seek to ensure charities are not misused to finance the Brotherhood.
"We will also intensify scrutiny of the views and activities that Muslim Brotherhood members, associates and affiliates - whether based in the UK or elsewhere - promote overseas," his statement said.
Egyptian President Abdel Fattah el-Sisi launched the toughest crackdown in Egypt's modern history after toppling President Mohamed Morsi of the Brotherhood in 2013.
Sisi classifies the Brotherhood as a "terrorist group", but on a visit to Britain in November he said it could again play a role in public life if Egyptians wanted it to return.
The Brotherhood says it is committed to peaceful activism designed to reverse what it calls a military coup in Egypt in 2013.
Source: Al Jazeera and agencies