1147 GMT January 19, 2019
Many wept as they recalled the brutal killings and violence inflicted on the Muslim minority last year as 700,000 fled across the border, AFP reported.
The biggest refugee camp in the world is rigidly controlled by Bangladesh authorities and the peaceful but charged Rohingya marches and rallies seen there were unprecedented.
"We are Rohingya, we want justice," people chanted in the Kutupalong camp, where a giant banner proclaimed: "Never Again: Rohingya Genocide Remembrance Day. 25 August, 2018."
In a different part of the camp, thousands of women and children marched behind a huge poster declaring: "365 days of crying. Now I am angry."
Rohingya militants staged attacks on Myanmar police posts on August 25 last year, sparking a bloody crackdown in Rakhine state.
Nearly 7,000 Rohingya were killed in the first month, according to Medecins Sans Frontieres (MSF).
Refugees arrived in Bangladesh on foot or in flimsy boats. Many brought horrific stories of violence, torture and villages burned to the ground.
Columns of people marching through the camp on Saturday waved banners and chanted "Allahu Akbar" (God is Great).
Tears flowed as one Imam gave a sermon, saying: "Please Allah, return to us our homeland. Let us see our parents' graves. We left them back in Myanmar."
Myanmar authorities, who insist their forces only targeted insurgents, have made an agreement with Bangladesh to repatriate refugees but only a handful have gone back.
Rohingya leaders say the exiles will not return home unless their safety is guaranteed.
No home, no hope
Myanmar's civilian leader Aung San Suu Kyi this week said it was up to Bangladesh ‘to decide how quickly’ repatriation of the refugees can be accomplished.
The Arakan Rohingya Salvation Army issued an anniversary statement in which it condemned Myanmar's ‘terrorist government and genocidal military’.
Mohammad Hossain, a 40-year-old protester at Kutupalong, said: "We are here to remember August 25. We want justice.
"We want them (Myanmar) to recognize us as Rohingya. We are very sad because we are not in our native land."
The Rohingya were stripped of their citizenship decades ago by Myanmar and have been chased from the country in successive convulsions of violence.
About 300,000 were already in the camps in Bangladesh's Cox's Bazar district and the latest arrivals pushed numbers to one million.
The Rohingya and aid agencies are most worried about the uncertain future of the refugees, who are stateless and seemingly unwanted in Bangladesh while conditions in their Rakhine homeland remain dangerous.
International Red Cross Committee President Peter Maurer, who visited the camps and Rakhine in July, said in an anniversary statement that Rohingya in both places were ‘living in misery’.
"Unfortunately, since my visit we have not seen tangible improvements for those displaced or the few who remain in Rakhine."
The Red Cross chief called for urgent ‘sustainable solutions’ for “safe, dignified and voluntary returns as soon as possible”.
He said this must include ‘political steps’ in Myanmar and Bangladesh.