The singer and guitarist lost a battle with cancer, according to his family.
The star's record label and management agency has confirmed his death and funeral plans.
The former teen idol was found dead in his California home in November.
After scoring a hit with 1958 album "Ahmad Jamal at the Pershing: But Not for Me," the jazz great opened the short-lived Chicago club the Alhambra.
The Irish musician passed away after a brief illness.
The musician "recently fell ill in what turned out to be spread cancer," read a message on his Facebook page.
The actor and singer was preparing the release of his first solo album.
The musician passed away following a "long battle with dementia," his wife wrote.
During his 50-year career, Jordan showcased his talents across New Orleans and collaborated with music legends like Ray Charles, Aretha Franklin and Stevie Wonder.
"We are truly devastated by the passing of our brother Paul," the other six members said in a statement.
