Fort Lauderdale Fire Rescue Chief Stephen Gollan said there were seven adults, 2 children and a dog aboard the vessel.
Florida Fish and Wildlife Conservation Commission had just completed a traffic stop on the water when they saw smoke coming from the back of the 60-footer.
FWC were able to transfer the adults and children, approximately ages 4 and 7 years old, and dog to safety aboard the FWC boat just before the sport fisherman erupted in flames.
A woman and one of the children on the boat suffered minor burns. She was treated at the scene and the 7-year-old child was transported to Broward Health Medical Center.
The cause of the fire is not known.