Seven soldiers were killed in two separate attacks by unidentified gunmen on army checkpoints in the North Sinai city of Arish on Thursday.
A policeman was also killed in an attack by gunmen on a police club in Arish.
Another two policemen lost their lives and a third was injured in an attack on a police vehicle in the canal city of Suez.
Gunmen also attacked a security checkpoint in the Daqahliya province, killing two soldiers.
Another policeman was killed and four others injured in an exchange of fire with Morsi supporters in the Upper Egyptian Assiut province.
In the northern city of Alexandria, meanwhile, seven people died in violent clashes between supporters and opponents of the ousted president.
In the canal city of Port Said, a 21-year-old Egyptian man committed suicide following the death of a friend at a pro-Morsi rally.
Egypt has been in a state of turmoil since security forces on Wednesday violently dispersed two major protest camps set up by Morsi supporters in Cairo's Rabaa al-Adawiya Square and Giza's Nahda Square.
The Health Ministry has said that at least 638 people were killed in violence across the country on Wednesday, including 288 in Rabaa al-Adawiya and 87 in Nahda Square.
However, the official death toll remains far below that given by the National Alliance for the Defense of Legitimacy, a coalition of pro-Morsi Islamist parties and figures, which has put the number of deaths from the Rabaa sit-in alone at some 2,600.