"I have said it before. I urge everyone to sit together to discuss what would achieve the interests of our nation," Morsi said in an interview published in the state-owned Akhbar al-Youm newspaper.
The interview comes a day after tens of thousands of Morsi supporters massed in Cairo in a show of strength ahead of opposition protests planned for June 30.
Morsi's supporters say he is clearing institutions of decades of corruption but his critics accuse him of concentrating power in the hands of his Muslim Brotherhood movement.
"For Egypt's sake, I call on President Mohamed Morsi to resign and give us the opportunity to begin a new phase based on the principles of the revolution, which are freedom and social justice," ElBaradei said.
"I would like to call on President Mohamed Morsi and his Muslim Brotherhood to respond to the cries from all over Egypt," he said at a conference grouping opposition leaders aimed at drawing up a plan for a post-Morsi Egypt.
There is much anticipation and anxiety ahead of the June 30 protests, with fears of violence and instability.
"I will continue in my pursuit for contact, and I may speed up parliamentary elections as a way of involving everyone in an agreed method to manage our differences," Morsi said.
"The call for protest on June 30 reflects the atmosphere of freedom granted to us by the revolution" of 2011, he said.
Morsi has been in office for just one year and in today's interview he implied he had no intention to step down before the end of his four-year term.
"And I will do this with goodwill... In accordance with democracy and my rejection of any monopoly of power," he said.
With Egypt deeply polarised between Morsi's mainly Islamist supporters and wide-ranging opposition, ElBaradei said it was time for "national reconciliation" in order to move forward.
What is needed is "a system based on free and fair elections with international and local monitoring (and) parliamentary elections to have all segments of society represented," he said. "We want the Egypt that the revolution rose up for," he said.
