An Egyptian militant group that was behind a Cairo bridge bombing this week has appointed a new leader after his predecessor was killed in a shootout with police.

The group known as Ajnad Misr, or "Egypt's Soldiers," said on its Twitter account late Thursday that Izzeddin al-Masri has succeeded Hammam Mohamed Attia.

Attia was killed Sunday in the shootout, just hours before the bridge attack in Cairo killed a policeman and wounded at least two passers-by.

The group's statement also pledged to continue its holy war, or jihad.

Ajnad Misr has carried out several attacks on security forces, especially after the 2013 military overthrow of Islamist President Mohammed Morsi. Militant groups say they are avenging a security crackdown on Islamists, while authorities blame Morsi's supporters for the violence.