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B. Poonen recently produced smooth threefolds over a number field which donot have a rational point but have no Brauer-Manin obstruction even afterdescent to a finite 'etale cover. In this note I show that the varieties heproduces have zero-cycles of degree 1.    B. Poonen a r'ecemment exhib'e des exemples de vari'et'es projectives etlisses de dimension 3 sur un corps de nombres qui n'ont pas de point rationnelet pour lesquelles il n'y a pas d'obstruction de Brauer-Manin apr`esrev^etement fini 'etale. Dans cette note, je montre que les vari'et'es qu'ilconstruit poss`edent des z'ero-cycles de degr'e 1.

Remarques sur un article r'ecent de B. Poonen