Bonjour
A news story is "un reportage".
If it's talking about stories around the world, like talking about wars, typhoons on the other side of the world with reporters over there.
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If it's nearer of your home , it will be called "un fait d'actualité" or "un fait divers" like a crime, a burglary or anything else in your neighborhood, your surroundings.... your country...
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hope this helps ☺☺☺