Court officials don't allow spectators to form their line until 5:30 a.m., though some had been waiting in a loose group nearby since 1 a.m.
The TV station reports that police were called after a scuffle broke out as people jockeyed for position. As the group ran to get in line, a woman was also knocked down and had to be taken away in an ambulance.
Anthony is accused of killing her 2-year-old daughter, Caylee, in 2008.