The pope said the new measure, issued "motu proprio," on his own accord, reflects the "fundamental equality of all" by ensuring that the Vatican judicial system conforms to the principle that "among all the faithful there is true equality in dignity and in action."
The pope also stressed the need for changes to the current judicial system "to ensure the equality of all members of the church and their equal dignity and position, without privileges that date back to earlier times and are no longer in keeping with the responsibilities that each person has in building up the church."
"This requires solidity of faith and consistency of behavior and actions," he wrote in the document published April 30.
Still, the new law says, the pope must give his "prior consent" before a cardinal or bishop is tried by city-state's court. The court handles crimes against Vatican civil law, not the Catholic Church's Code of Canon Law.
Showing his intent that cardinals and bishops will be tried like anyone else who violates the civil code, Pope Francis also abolished Article 24 of the current law, which stated that only the Court of Cassation -- the Vatican's appellate court consisting of three cardinals and several associate judges -- "is competent to judge" cases against cardinals and bishops.
The new measures, Pope Francis wrote, go into effect immediately.