Thousands of people gathered as 127 newly found victims were buried at the memorial cemetery in nearby Potocari.
Survivors and relatives of those who died attended the burial, along with representatives from the United Nations war-crimes tribunal and Bosnian and Turkish officials.
Officials from Serbia, which denied the massacre was genocide, were not invited.
Relatives of the dead gathered silently as 127 coffins were carried in Islamic tradition before being buried next to more than 6,000 other victims found previously in mass graves.
The youngest of the newly found victims was 14 years old when he was killed, the oldest 77.
A 52 year-old woman named Fatima Duric was there to bury her husband.
"I lost my husband here, and I escaped with my two children across the mountains in 1995 towards Tuzla. After all these years, his body was found. In fact, just a few bones of his body. And that is what I am burying today."
Serb forces killed over 8,000 Bosnian Muslim men and boys in the UN-declared safe haven over several days in 1995.
They separated the men and boys for execution, then dumped their bodies in pits.
International courts defined the massacre as genocide.
In March this year, former Bosnian Serb leader Radovan Karadzic was found guilty of genocide, along with nine further counts of war crimes and crimes against humanity.
But while Serbia acknowledges the massacres were a crime, it does not define them as genocide, despite the ruling of international courts.
Last year's 20th anniversary was marred when an angry crowd at the ceremony in Potocari chased away Serbian prime minister Aleksandar Vucic.
Ramiza Omerovic says she lost her mother, father and husband in Srebrenica in 1995.
"I want, sometimes, to disappear from the face of the earth when I hear someone saying that we are lying about the massacre. How can someone say that we are lying about this? Shame on them. I no longer have my father, my mother and my husband with me. I was only 20 when I was left with my three little daughters. How could I invent such a thing? Can they bring my husband back, my mother? I have found a couple of her bones, I buried her here. Shame on all of those who say that we are lying about this."
Srebrenica mayor Camil Durakovic has told those attending the memorial ceremony the search for over a thousand more victims continues.
He also called on Bosniaks who fled Srebrenica during wartime to return to live in the town, saying the laughter of their children who come and live there will be their revenge.
"Truth and justice are the only way for a better future, which our children, both Muslim and Serb, deserve, in Srebrenica. Truth and justice are necessary for both Serbs and Muslims in order to build a new future of Srebrenica, in which human ethics, dignity, understanding and solidarity will be embraced by all."
Turkey's foreign minister, Mehmet Cavusoglu, says the genocide is a black mark for the history of humanity and the history of Europe.
The president of the UN war-crimes court in The Hague, Carmel Agius, says the pain of their loss was unmeasurable.
"You have the admiration of everyone for your vital role and perseverance in ensuring that the awful events of July 1995 are never forgotten."
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