The Ukrainian government hopes Biden will announce further US assistance for its forces, locked in a drawn-out struggle with pro-Moscow separatists in the east.
The US has so far limited its support to non-lethal security assistance but Kiev wants it to go further and offer weapons and ammunition.
Russia, which denies providing military support to the rebels, has warned that if the US were to arm Ukrainian forces, the conflict in eastern Ukraine "will grow".
Some mourners wept or crossed themselves as they remembered the dead while others said fresh protests were needed to bring real change to Ukraine, where corruption is rife.
Also Read
Petro Runkiv, a 58-year-old civil engineer, left his wife, children and grandchildren in western Ukraine to join the protests last year.
"Of course, we are disappointed. Nothing changed," he said. "We need reforms and we are here to let our government know that we are ready for one more Maidan."
The protests started last year after then president Viktor Yanukovych suddenly scrapped a deal for closer ties with Europe.
They eventually led to his ousting in February which prompted Moscow to seize Ukraine's Crimea peninsula and later triggered separatist unrest in the industrial east which has killed more than 4,300 people since mid-April.
President Petro Poroshenko has declared today a "Day of Dignity and Freedom" and a series of memorial ceremonies are planned.
Poroshenko was heckled by relatives of the Maidan dead shouting "Shame!" over authorities' failure to convict anyone in connection with the deaths when he laid a candle at the shrines today.
Biden also will meet Poroshenko before they issue a joint statement.
During his visit, the US vice-president is expected to try to shore up a tattered ceasefire in the east, which has been in place since September 5 but failed to prevent almost 1,000 people from dying in fighting since, according to the United Nations.