Rodriguez said 113 people were on board, including 102 Cubans, three tourists, two foreign residents and six crew members who were from Mexico.
The BBC reported Saturday that one of the plane's black boxes has been found in good condition.
The domestic flight was headed to Holguin and crashed at approximately 12:30 p.m. local time, according to state TV reports.
The plane was rented by Cubana Airlines, WPLG reports.
Friday's crash was Cuba’s third major fatal aviation accident since 2010, the AP reported.