Abstract In this paper, we study polar foliations on simply connected symmetric spaces with non-negative curvature. We will prove that all such are isoparametric as defined in [E. Heintze, X. Liu and C. Olmos, Isoparametric submanifolds a Chevalley-type restriction theorem, Integrable systems, geometry, topology, American Mathematical Society, Providence 2006, 151–190]. also splitting theorem w...