One device carried by the man went off as the security forces managed to arrest him, in Cairo’s ancient district, close to the Al Azhar mosque.
The blast killed a police officer from national security and an officer from Cairo investigations department, the interior ministry said in a statement.
The explosion also wounded three civilians.
The subside-bomber is believed involved in the Friday attempt attack, which left two security forces and three civilians injured.
Egyptian authorities have been grappling with a surge in terror attacks against security forces since 2013 following the removal of Islamist and first democratically elected President Mohamed Morsi by incumbent leader Fattah al-Sisi.
Though attacks on security forces have been predominant in the Sinai Peninsula, they also spilled to urban areas including the capital.