In a televised address on Wednesday, Morsi said all political factions must remain committed to law and engage in dialogue to resolve issues facing the nation.

“Egypt faces many challenges. The polarization has reached a stage that could threaten our democratic experience and paralyze the nation,” the president said.

“We Egyptians are able to overcome this phase and overcome the challenges… All I ask of you now is to sit and discuss… to look for the positives and build on them; and to fix the negatives,” he added.

Morsi acknowledged that he also made some mistakes during the first year of his presidency, adding that everyone should learn from their errors.

“I have made many mistakes, there is no question. Mistakes can happen, but they need to be corrected,” he noted.

Morsi also promised to introduce "radical and quick" reforms in state institutions.

The Egyptian president made the remarks in an address to the nation hours after clashes between his supporters and opponents in the Nile Delta city of Mansura.

The Health Ministry said that at least one person was killed and 237 people were injured in the clashes.

Wednesday’s clashes broke out when opponents of the president began throwing rubbish at his supporters who were holding a rally in the coastal city, according to a security official.

Meanwhile, troops have been deployed across Egyptian cities ahead of June 30 protests planned by the opposition to demand the president resign.

Several political groups say the government is dominated by Muslim Brotherhood. The opposition also accuses Morsi of deviating from the 2011 revolution that toppled the Western-backed regime of Hosni Mubarak.

Morsi’s supporters, however, say the president is cleansing Egyptian institutions of corruption. They also believe that he needs time to put into practice the principles of the 2011 revolution.

The president's supporters have strongly condemned the upcoming opposition rally, which marks Morsi’s first year in office, as a coup against democracy.

Egypt has witnessed continuing anti-government protests since Morsi took office in June 2012 in a landmark election held following the ouster of Mubarak.