Supporters of ousted Islamist president Mohamed Morsi have pressed a protest campaign since his overthrow last July, despite an extensive crackdown that has killed more than 1,400 people and imprisoned thousands.
One of the two killed today, a 52-year-old man, was suffocated by tear gas during the clashes in Fayoum province southwest of Cairo.
The other fatality was a woman, but the officials did not say how she died.
Protests are expected to continue as Abdel Fattah al-Sisi, the ex-army chief who toppled Morsi, stands in a late May presidential election he is expected to win.
Morsi's overthrow also unleashed a widening militant campaign that has killed about 500 people, mostly members of the security forces.
