A train driver who was drunk failed to make the first stop while travelling from Paris to Clermont-Ferrand.
The incident happened on Wednesday (June 28) as passengers who wanted to leave the train at Nevers were unable to, according to The Local.
The train had left Paris-Bercy station at 4pm and travelled straight to Saincaize, 14 kilometres (8.7 miles) away from Nevers.
Passengers travelling to Nevers had to catch another train, and arrived an hour later than scheduled.
SNCF, the train operator, said: "As soon as the stop was missed, an SNCF executive informed the fire station and police.
"The driver was taken to a hospital in Nevers where a blood test was carried out which indicated that there was alcohol in his system."
News website Le Journal du Centre said the driver - reported to be visibly drunk - was taken into custody.
SNCF also said: "This is an extremely rare situation, serious and intolerable. The president of SNCF has immediately appointed the management team responsible for auditing security to conduct an internal inquiry.
"An internal disciplinary procedure has been initiated. This could lead to the driver being fired."