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Let $L$ and $L'$ be two invertible sheaves over a projective variety $X$. Wesuppose that $L$ and $L'$ are generated by their global section spaces$\Gamma(L)$ and $\Gamma(L')$. We prove in this article that the morphism :\[\Gamma(L) \otimes \Gamma(L') \to \Gamma(L \otimes L')\] is surjective, in thecase where $X$ is a rank one wonderful variety. In particular, the cone over arank one wonderful variety defined by a very ample invertible sheaf is alwaysnormal. Soient $L$ et $L'$ deux faisceaux inversibles sur une vari\'et\'eprojective $X$. On suppose que $L$ et $L'$ sont engendr\'es par leurs espacesde sections globales $\Gamma(L)$ et $\Gamma(L')$. On d\'emontre dans cetarticle que le morphisme : \[\Gamma(L) \otimes \Gamma(L') \to \Gamma(L \otimesL')\] est surjectif, dans le cas o\`u $X$ est une vari\'et\'e magnifique derang 1. En particulier, le c\^one au-dessus d'une vari\'et\'e magnifique $X$ derang 1 d\'efini par un faisceau inversible tr\`es ample est toujours normal.

Normalit\'e projective des var\'et\'es magnifiques de rang 1