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Let F be a homeomorphism of an oriented surface M that is isotopic to theidentity. Le Calvez proved that if F admits a lift without fixed points to theuniversal covering of M, then there exists a topological foliation of Mtransverse to the dynamics. We generalize this result to the case where thelift of F has fixed points. We obtain a singular topological foliation whosesingularities are fixed points of F.  Le Calvez a montr\'e que si F est un hom\'eomorphisme isotope \`al'identit\'e d'une surface M admettant un rel\`evement au rev\^etementuniversel n'ayant pas de points fixes, alors il existe un feuilletagetopologique de M transverse \`a la dynamique. Nous montrons que ce r\'esultatse g\'en\'eralise au cas o\`u le rel\`evement de F admet des points fixes. Nousobtenons alors un feuilletage topologique singulier transverse \`a la dynamiquedont les singularit\'es sont un ensemble ferm\'e de points fixes de F.

Existence d'un feuilletage positivement transverse \`a un hom\'eomorphisme de surface