 However, statistical studies by law professors and the Department of Justice have found that punitive damages are only awarded in two percent of civil cases which go to trial, and that the median punitive damage award is between $38,000 and $50,000.There is no maximum dollar amount of punitive damages that a defendant can be ordered to pay.In response to judges and juries which award high punitive damages verdicts, the Supreme Court of the United States has made several decisions which limit awards of punitive damages through the due process of law clauses of the Fifth and Fourteenth Amendments to the United States Constitution.