She was found unresponsive by a friend at her home in Phoenix, Arizona, her publicist said.
Joni Sledge had not been ill and the cause of death is unknown.
The singer, who was best-known for the disco anthem We Are Family, is survived by her adult son and last performed with the band in October.
Joni Sledge’s death was announced on social media on March 11 – a week before the group were due to perform in Los Angeles.
A statement released on Facebook read: “Yesterday, numbness fell upon our family.
“We are saddened to inform you that our dear sister, mother, aunt, niece and cousin, Joni passed away yesterday.”
The statement added: “We miss her and hurt for her presence, her radiance, and the sincerity with which she loved and embraced life.”
Aside from the Grammy-nominated We Are Family, the hit which sold more than a million copies after it was released in 1978, Sister Sledge also was known for He’s the Greatest Dancer, Lost in the Music and a cover of the Motown classic My Guy.
They sang We Are Family for Pope Francis in 2015.
The Sledge sisters came from a family of performers, including an actress mother, a Broadway star for a father and an opera singer for a grandmother.
However, the four have not stayed together throughout their careers. Instead, Sister Sledge became a trio after sister Kathy left the band in 1989.
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