An LGV line from Paris to Cherbourg is proposed. It was announced by President Sarkozy in April 2009, with a few further details fleshed out during a visit to Rouen by French Transport minister, Dominique Bussereau

Dominique Bussereau

Dominique Bussereau is a French politician, was Secretary of State for Transport within the government of François Fillon...

. Working groups have been established consisting of leaders of the local governments and french railway officials. A public consultation is expected in 2011.

Journey Times

It would have journey times as follows:

1. Paris
   Paris
   Paris is the capital and largest city in France, situated on the river Seine, in northern France, at the heart of the Île-de-France region...
   
   -Rouen
   Rouen
   Rouen , in northern France on the River Seine, is the capital of the Haute-Normandie region and the historic capital city of Normandy. Once one of the largest and most prosperous cities of medieval Europe , it was the seat of the Exchequer of Normandy in the Middle Ages...
   
    45 min or less
2. Paris-Le Havre
   Le Havre
   Le Havre is a city in the Seine-Maritime department of the Haute-Normandie region in France. It is situated in north-western France, on the right bank of the mouth of the river Seine on the English Channel. Le Havre is the most populous commune in the Haute-Normandie region, although the total...
   
    1h 15 min
3. Paris-Caen
   Caen
   Caen is a commune in northwestern France. It is the prefecture of the Calvados department and the capital of the Basse-Normandie region. It is located inland from the English Channel....
   
    1h 30 min
4. Paris-Cherbourg 2h 30min