The Ukrainian security forces said three attackers were killed and a total of 10 people, including five law enforcement officers, were injured.
The Right Sector activists in Kiev have launched a protest rally in front of the presidential administration building demanding to dismiss Interior Minister of Ukraine ArsenAvakov. Similar rallies of several dozen people are taking place in Lviv, Dnepropetrovsk, Kharkiv and Zhytomyr.
Ukraine's Prosecutor General has launched an investigation into the shootout, preliminary qualifying it as a terrorist attack.
The Right Sector paramilitary has played a major role in violent clashes with police, which resulted in the February 2014 coup.
In January 2015, the Russian Ministry of Justice added the Right Sector to its list of non-commercial organizations whose activity in Russia is prohibited.