Palais de Justice de Paris
The building is located on Ile de la Cité in the middle of Paris near the Prefecture de Police
(Paris police HQ) building and Notre Dame.
It is build on the site of the former Palais de la Cité royal palace of which the famous Sainte Chapelle
This is why to visit the Sainte Chapelle, you need to pass through security gates.
The Conciergerie and the Saint Chapelle dates of the XIII century, you can found other older trace of the former Palace.
Anyway most of Palais de Justice was build during the second end of the 19th to the early 20th century.
Picture by Nitot, Wikipedia
Picture by Mbzt, Wikipedia
This building is now too small, a new Courthouse is under in construction.
The Tribunal de Grande Instance (High court?) of Paris will move in a brand new 525 ft skyscraper by 2017-18.
There are also three other Tribunal de Grande Instance (High court) in Préfecture de Police jurisdiction.
Those courts are located in the capital of the three inner suburbs departement (Hauts de Seine, Seine Saint Denis and Val de Marne).
Tribunal de Grande Instance de Bobigny
Tribunal de Grande Instance de Nanterre
The building on the left, the rest of the complex is the Préfecture of Hauts de Seine department HQ.
Tribunal de Grande Instance de Créteil