American Charlo, who holds the WBO, WBC, IBF and WBA belts, became the undisputed champion when he knocked out Brian Castano (33) in May.
After his win over Castano, the World Boxing Organisation (WBO) ordered Charlo to defend his title against undefeated Australian Tszyu.
"Tszyu was set to take on undisputed super welterweight champion Jermell Charlo on January 28 in Las Vegas, however, Charlo was forced to withdraw from the bout after suffering a broken hand in training camp," Tszyu's promoters, No Limit Boxing, said in a statement on social media.
"There is currently no new date for the rescheduled match. A new date will be announced soon."
Tszyu is the son of Russian-born former boxer Kostya, who stunned Zab Judah in 2001 to claim the undisputed light welterweight crown.
