"we're offering a hudna [ceasefire] for 10 years in return for the end of occupation. ... We hope the Europeans will become aware of the concept of hudna, and that it can become a substitute for recognition of Israel" ... The Quartet - the US, EU, UN and Russia - have demanded that Hamas formally recognise Israel, renounce violence, and accept previous agreements between Israel and the Palestine Liberation Organisation, before the Quartet lifts the economic embargo on the West Bank and Gaza imposed after Hamas won elections in January.
Mr Yousef said that there was no support in Gaza and the West Bank for recognition of Israel, and he could not propose such a change at present.
"If I did, I would end up like Michael Collins," he said, referring to the Irish republican leader assassinated in 1922 for accepting an Irish two-state solution.
"We need to change people's minds on how they look at the conflict, and it will take time. The climate will change if we have a period of peace."
Mr Yousef and Said Abu Musameh, a former Hamas leader and now a member of the Palestinian national assembly, said the ceasefire proposal, first put forward a decade ago by the late Hamas leader, Sheikh Ahmed Yassin, would be a de facto recognition of Israel. A period of peace could create the environment for later negotiations on a full Middle East peace deal.