The UPA, which had no significant foreign support, fought against Germans and Soviets during the war, and continued to battle against the USSR and Polish communists until the 1950s, mainly in the Carpathian mountains.
The march has met with strong opposition from the Eurasian Youth Movement, the People's Opposition Bloc led by Natalia Vitrenko, and the Communist Party of Ukraine, who pledge to ban the event.
The capital's administration said the march is being organized by the Kiev Society of Veterans of the Organization of Ukrainian Nationalists-Ukrainian Insurgents Army (OUN-UPA), the all-Ukrainian movement Freedom, the Ukrainian National Assembly, the Youth Nationalist Congress, and other nationalist organizations.
The city administration said about 4,000 police will be on hand to ensure security during the march.
Last October, mass clashes between UPA supporters and opponents took place in Kiev during a public rally dedicated to the group's 63rd anniversary.