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We determine explicitly the foliated cohomology $H_{\cal F}^\ast (M)$ of theaffine Reeb flow ${\cal F}$ on the Hopf manifold ${\Bbb S}^n\times {\Bbb S}^1$.The vector space $H_{\cal F}^1(M)$ contains exactly the obstructions to solvethe cohomological equation $X\cdot f=g$ where $f$ and $g$ are $C^\infty$-functions and $X$ is any non singular vector field defining the foliation${\cal F}$. The topological dual of $H_{\cal F}^1(M)$ is the space ofdistributions invariant by $X$.

Cohomologie feuillet\'ee du flot affine de Reeb sur la vari\'et\'e de Hopf ${\Bbb S}^n\times {\Bbb S}^1$