The woman told police two children, a girl who appeared to be 12 to 14 and a boy who looked like he was 10, tried to rob her Monday evening near Fifth Avenue in the northeast corner of the park, WNBC-TV reported.
Witnesses said the two children were talking to another girl who looked like she was around 14 immediately after the robbery attempt.
The girl arrested Thursday was charged as a juvenile with second-degree attempted robbery.
Area residents were shocked at the report of child muggers.
"It makes me wonder who's at home wondering where they are," David Chapman, a park visitor, told WNBC.
Jessica Simpson shares three-way kiss with friends in photo
Susan Sarandon 'very excited' about daughter's pregnancy