  Poisson manifolds may be regarded as the infinitesimal form of symplectic
groupoids. Twisted Poisson manifolds considered by Severa and Weinstein
[math.SG/0107133] are a natural generalization of the former which also arises
in string theory. In this note it is proved that twisted Poisson manifolds are
in bijection with a (possibly singular) twisted version of symplectic
groupoids.
