The latest protests began after the Egyptian Interior Ministry announced it would transfer defendants in the 2012 Port Said Stadium massacre to another prison, Egypt Independent reported.
Protesters threw Molotov cocktails at the Port Said Security Directorate.
Police responded with tear gas, birdshot and live ammunition.
Eyewitnesses said some of the protesters set fire to the garage of the National Security Authority branch office, burning some of the vehicles inside.
On Sunday, five people were killed during clashes in Port Said.