The judiciary is the system of courts that adjudicates legal disputes/disagreements and interprets, defends, and applies the law in legal cases.

What do you mean by justice system?

the combination of courts and legal processes that deal with crime.

What is the justice system called?

The U.S. Criminal Justice System

A criminal justice system is an organization that exists to enforce a legal code. There are three branches of the U.S. criminal justice system: the police, the courts, and the corrections system.