In a dystopian future Earth, the area between New York and Boston has become a crime-ridden urban mass of 800 million people known as Mega City. Keeping the peace are combination policemen-judges who make the arrests, determine guilt and then execute the sentence. Judge Dredd is among the best at what he does and he is assigned a rookie, Cassandra Anderson, who did not meet the minimum requirements for the job but who has one talent most do not: she is a mutant with psychic abilities. They soon find themselves inside Peach Trees, a 200 story building that houses among many others Ma-Ma a gangster who produces the drug of choice in Mega City, slo-mo. Ma-Ma shuts the building down determined that Dredd and Anderson will never again see the light of day.