We present limits on several Dark Sector models obtained by BaBar. Primarily designed for the study of CP violation in B mesons, this experiment is also, thanks to the high luminosity delivered and its powerful particle identification, sensitive to many other interesting physics processes. These include production of visible and invisible dark photons, for which. our limits rule out the parameter space favoured by the apparent g-2 anomaly. We also present limits on a Z' coupling preferentially to muons, and on a light Higgs.