The April 6 Youth Movement has condemned President Morsi's "slow reaction" to the current wave of violence in the country.
Clashes erupted on Friday during protests to mark the second anniversary of the January 25 Revolution and on Saturday after a court sentenced 21 people to death for their role in the Port Said Stadium disaster in February 2012.
"The recent violent events have political causes. President Morsi and his party have failed to administer the country and he has ignored the advice given to him at previous national dialogue meetings," the group said in a statement.
On Sunday, the president invited a dozen parties and political figures to a national dialogue meeting to discuss the current turmoil. Most opposition figures have rejected the invitation.
April 6 said it doubted the dialogue would bear fruit and would be plagued with withdrawals.
A number of attendees walked out of previous dialogue talks in December, citing the president's failure to listen to their suggestions on the election law.
The group condemned the imposition of a state of emergency in Suez, Port Said and Ismailia and said further such measures would aggravate large sections of the population.