The man was "detected upon his arrival at the Disneyland hotel where he had a reservation. Hotel security found two handguns, a Quran and ammunition on him", said the source.
A separate police source said that the metal detector had rung out as the man passed through.
Six Paris schools evacuated over bomb threat
Police were called and immediately took the man into custody while they secured his vehicle.
One of the police sources said investigators were trying to track down the man's girlfriend.
Papers found on the suspect indicated that he lived in Paris, however no further details were available about him.
Disneyland Paris is situated about 30 kilometres (18 miles) 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.
The bloodshed was the second major attack in France within a year, as the country has become a prime target for the extremist group operating out of Iraq and Syria.
In January 2015, three days of terror gripped Paris as a series of attacks left 17 people dead, including an attack on the satirical newspaper Charlie Hebdo.
France imposed a three-month state of emergency after the November attacks, which President Francois Hollande hopes to extend for another three months, despite fierce opposition from rights activists.
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