I already have a valid Schengen short-stay visa issued by another Schengen state and this time I want to go to France. Do I need a new visa?

A Schengen visa (issued by an embassy or consulate of a Schengen state) is valid for all 27 Schengen states, unless otherwise stated on the visa sticker.If the visa is still valid, visa holder do not need another visa to travel to France. However, they need to be in possession of supporting documents relating to the reason of stay and means of subsistence after arrival in France