A procession is being held in Nigeria's capital, Abuja, with 219 girls taking part to represent each missing girl.
UN Secretary-General Ban Ki-moon said the world must "never forget the kidnapped Chibok girls".
The mass abduction sparked global outrage, with nations including the US and China vowing to help find them.
There have been reported sightings of the girls, but none has been found.
The young women demonstrating in Abuja sang and chanted "solidarity forever" as they marched. They wore red T-shirts with the words "#365DaysOn" and "#NeverToBeForgotten".
Crowds gathered at a park in central Abuja, demanding the government tell them the truth about the girls, the BBC's Kaura Abubakar reports.
One woman travelled 750km (460 miles) to show her support, our correspondent adds.
Ceremonies are also being held in Lagos, and in France, the UK and US.
Boko Haram say the kidnapped girls have converted to Islam and been married off. One witness told the BBC that she saw more than 50 of them alive three weeks ago in the north-eastern town of Gwoza.
-BBC