Martinique is a part of France, the entry requirements are the same.
European countries and visitors from Argentina, Australia, Bulgaria, Brunei, Canada, Chile, South Korea, Costa Rica, Croatia, El Salvador, Guatemala, Honduras, Japan, Malta, Mexico, Nicaragua, New Zealand, Panama, Paraguay, San Marino, the Vatican, Singapore, Uruguay, USA and Venezuela do not require a visa.
A valid EU ID card is also valid for entry into Martinique.
A Schengen visa is not valid for most French territories. A separate visa is required.
Martinique entry requirements