The march on what would have been Stepan Bandera's 106th birthday moved along the same streets on which hundreds of thousands rallied for three months last winter before ousting a Moscow-backed president.
Some wore World War II-era army uniforms while others draped themselves in the red and black nationalist flags and chanted "Ukraine belongs to Ukrainians" and "Bandera will return and restore order".
"The Kremlin is afraid of Bandera because he symbolises the very idea of a completely independent Ukraine," Lidia Ushiy said while holding up a portrait of the far-right icon at the head of the march.
His movement's slogan -- "Glory to Ukraine! Glory to the heroes!" -- was also the catchphrase of last year's pro-European revolt.
Russian President Vladimir Putin in March called that uprising's leaders "the ideological heirs of Bandera, Hitler's accomplice during World War II."
Bandera was the ideological patron of resistance fighters who fought alongside invading German forces during World War II.
The Ukrainian famine of the 1930s that was created by Soviet collective farming had turned many against Moscow and in favour of any foreign presence that could help fend off Kremlin rule.
He was poisoned by a KGB agent in Munich in 1959. Bandera was posthumously decorated with a Hero of Ukraine medal in January 2010 by the then pro-Western president Viktor Yushchenko.
The decision outraged Russia and was revoked by the Moscow-backed leadership prior to its own ouster in February.
Ukranian President Petro Poroshenko -- a billionaire who helped man the Kiev barricades -- made a New Year vow to defeat the "cruel-hearted foe" now fighting government forces in the Russian-speaking east.
