We report muon spin relaxation (μSR) measurements on two Ti3+ containing perovskites, LaTiO3 and YTiO3, which display long-range magnetic order at low temperature. For both materials, oscillations in the time dependence of the muon polarization are observed which are consistent with three-dimensional magnetic order. From our data we identify two magnetically inequivalent muon stopping sites. The μSR results are compared with the magnetic structures of these compounds previously derived from neutron diffraction and μSR studies on structurally similar compounds. © 2008 IOP Publishing Ltd.