Talaat Ibrahim was appointed after President Morsi sacked his predecessor
Egypt's new public prosecutor has retracted an offer to resign he made on Monday following protests about his appointment, Egyptian media report.
Talaat Ibrahim said it was now up to the justice minister to decide whether he should stay on.
Mr Ibrahim was appointed by President Mohammed Morsi last month, after his predecessor was sacked.
The move angered senior judges who saw the sacking of Abdel Maguid Mahmoud as an attack on their independence.
There are growing tensions between President Morsi and his Muslim Brotherhood supporters on one side, and his mainly secular political opponents and the judiciary on the other.
Mr Morsi adopted sweeping new powers in a decree on 22 November, stripping the judiciary of any power to challenge his decisions.
One of his first decisions was to sack Mr Mahmoud - first appointed as chief prosecutor by Mr Mubarak.
The decree spurred protests and clashes between Mr Morsi's supporters and opponents.
Under pressure, the president revoked the decree but kept the new prosecutor-general in place.
After his appointment, Mr Ibrahim was given the job of re-examining all investigations into the deaths of protesters when ex-President Hosni Mubarak was in power.
Mr Ibrahim offered to stand down a day after a final round of voting in a referendum on Egypt's controversial draft constitution.
The first round was held at the weekend, with many judges boycotting supervision of the vote.
Opponents say the constitution has been rushed through and fails to protect the rights of minorities, particularly women.