Sulaiman's son, Mauricio Sulaiman, said the man who many say raised the profile of the sport in his four-decade leadership at the Mexico-based council died at a hospital in Los Angeles yesterday.
He had been hospitalised at the University of California, Los Angeles Medical Centre for months for a heart condition.
The WBC confirmed his death, calling him the "father of boxing." Sulaiman was a member of boxing's Hall of Fame since 2006.
The son of a Syrian mother and a Lebanese father, Sulaiman was born on May 30 in Ciudad Victoria, Mexico. He boxed as an amateur but quickly shifted over to working as a manager and a referee.
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Sulaiman is known for supporting Julio Cesar Chavez, Mexico's most famous boxer, and then the fighter's son, Julio Cesar Chavez Jr.
Most recently, Sulaiman helped Saul "Canelo" Alvarez, a young champion who last year challenged Floyd Mayweather Jr. in one of the richest fights ever. He lost to Mayweather.
Sulaiman also managed to institute new rules and regulations regarding boxers' safety and welfare. Among these changes was the reduction in the number of rounds from 15 to 12.