Men wept for their loved ones over the coffins clad in green cloth at a cemetery in the town of Jablanica, about 70 kilometres (43 miles) southwest of the capital Sarajevo.
At least 26 people were killed in the disaster.
Most of the victims were from the area around Jablanica, including 17 from the village of Donja Jablanica, which was virtually buried under mud, rocks and granite debris from a nearby quarry.
The floods and landslides washed away roads, railway tracks and bridges, cutting off many populated areas, with authorities still struggling to access some of those.
"That night will be remembered as one of the worst in the history of Jablanica," Semir Jahic, a Muslim cleric from Donja Jablanica, told AFP.
"Some people lost nine close family members on that night," he said.
Husein Kavazovic, Bosnia's grand mufti, led prayers at the Jablanica cemetery.
The victims were later buried at different cemeteries in the area.
The authorities have opened a probe into the quarry from where torrential rains carried away huge rocks triggering landslides that buried the village.
The quarry, according to local media reports, had been operating illegally.
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