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Soit $X$ un sch\'ema quasi-compact et s\'epar\'e et soit $\alpha\in\check{C}^2(X, \mathcal O_X^*)$ un cocycle de C\v{e}ch. Nous consid\'erons lacat\'egorie d\'eriv\'ee $D(QCoh(X,\alpha))$ des faisceaux quasi-coh\'erents sur$X$ tordu par $\alpha$. Soit $\Delta(X,\alpha)$ la plus petite sous-cat\'egorietriangul\'ee de $D(QCoh(X,\alpha))$ contenant tous les objets $u_*\mathcalF^\bullet$, o\`u $u:U\longrightarrow X$ est une immersion ouverte avec $U$affine et $\mathcal F^\bullet\in D(QCoh(U,u^*(\alpha)))$. Alors, le but de cetarticle est de montrer que $\Delta(X,\alpha)=D(QCoh(X,\alpha))$.  --  Let $X$ be a quasi-compact and separated scheme and let $\alpha\in\check{C}^2(X, \mathcal O_X^*)$ be a C\v{e}ch cocycle. We consider the derivedcategory $D(QCoh(X,\alpha))$ of quasi-coherent sheaves on $X$ twisted by$\alpha$. Let $\Delta(X,\alpha)$ be the smallest triangulated subcategory of$D(QCoh(X,\alpha))$ containing all the objects $u_*\mathcal F^\bullet$, where$u:U\longrightarrow X$ is an open immersion with $U$ affine and $\mathcalF^\bullet\in D(QCoh(U,u^*(\alpha)))$. Then, the purpose of this article is toshow that $\Delta(X,\alpha)=D(QCoh(X,\alpha))$.

Sur la cat\'egorie d\'eriv\'ee des faisceaux tordus