The images of 24 people were released by police from the Operation Titan investigation on Monday.
Police want to speak to the men as part of their enquiries into serious public disorder and rioting in the greater Belfast area on July 16 and August 9 last year.
Detective Superintendent Sean Wright said:
"For over a year, police officers have dealt with a number of episodes of serious disorder on the streets of Northern Ireland.
"We have been clear from the outset that there would be consequences for individuals who seek to engage in illegal activity and we have been carrying out a thorough investigation to identify those involved and make them amenable for their actions."
Members of the Operation Titan team can be contacted on 028 9090 1755 or by e-mailing POETDPC@psni.pnn.police.uk