The man was "detected upon his arrival at the Disneyland hotel where he had a reservation. Hotel security found two handguns, a Koran and ammunition on him", said the source.
Police were called and immediately took the man into custody while they secured his vehicle.
Disneyland Paris is situated about 30 kilometres east of the French capital and is the most visited theme park in Europe, with some 10 million visitors in 2014, according to that year's Global Attractions Attendance Report.
France is on high alert after a devastating terror attack in November saw Islamic State group gunmen and suicide bombers target Paris cafes, a concert hall and the Stade de France national stadium, leaving 130 dead and hundreds injured.