The country's ambassador to Ireland insists the military drill does not pose a threat to Ireland or anyone else.
It comes amid growing tensions between Russia and Ukraine.
Patrick Murphy, CEO Irish South and West Fish Producers Organisation says they intend to protest against the military exercises:
"We have a foreign power, doing War Games, inside our EEZ zone, inside our waters and we have fishermen who fish there and never the two meet because we feel there is an inherent danger to the fishermen that work these waters, our members and we are highlighting that we are going to continue to fish there as a form of protest."