Anthony, 25, was acquitted of killing Caylee and released from jail in July. She is now serving probation on an unrelated charge at an undisclosed location in Florida.
Her whereabouts have been kept secret because she has received death threats.
Judge Belvin Perry's ruling was well short of the more than $500,000 that prosecutors and law enforcement agencies in Orlando were seeking.
Anthony was convicted of four counts of lying to authorities. She told officers a baby sitter had the child. Authorities later learned the baby sitter never existed, and the investigation just drained manpower.
Anthony has appealed her convictions.
The Associated Press contributed to this report.