Casey Anthony, Caylee's mother, was arrested shortly after she reported her daughter missing in mid-July. She is being held on high bail although she faces relatively minor charges at the moment.
A reporter's question about whether Caylee had been killed accidentally set George Anthony off, the Orlando Sentinel reported.
"Shut up! Shut up! Shut up! Shut up!" Anthony said in the confrontation outside the jail. "Move out of my way, unless you want to get knocked over."
Caylee was last seen in June. Her mother has given various stories about when she last saw her.
Her parents say they believe that their daughter left Caylee with a babysitter. On Wednesday, the Orange County Sheriff's Office suggested that the Anthonys are not reliable sources for information on the investigation.
"Unless you hear it from us or the police, it's not true," Cindy Anthony, Caylee's grandmother, said in response. "We are only going to state the facts. Anything else is speculation."
Kate Middleton recycles dress at movie premiere
Couple mistakenly served bag of cash at McDonald's drive-thru