The incident resulted in the death of George Nkencho.
It happened in a Hartstown housing estate yesterday afternoon after members of the force responded to reports of a man with a knife in a local shopping centre.
Bullets were fired from an official Garda firearm after the man made several threats and an attempt to resolve the situation with non-lethal force failed.
Protesters are calling for the arrest of the officer who shot George Nkencho and say they want to receive daily updates on a GSOC investigation into the incident.