The CBELSA/TAPS experiment with a longitudinally or transversely polarized target and an energy tagged, linearly or circularly polarized photon beam allows the measurement of a large set of polarization observables. Due to its good energy resolution and high detection efficiency for photons, as well as the nearly complete solid angle coverage, it is ideally suited for the measurement of neutral mesons decaying into photons. Preliminary results for the target asymmetry T, the recoil polarization P, and the double polarization observable H are shown for \pi^0 and \eta photoproduction off the proton.
