Hadronic production of P-wave charmonium states ( χJ) is discussed. Particular emphasis is put on the contribution from valence quark annihilation. Different models give striking differences for the relative abundance of the various χJ states and for the angular distribution of the cascade photons. The magnitude of the production cross section is calculated. Dominance of χ1 production in K-p, overlinepp and π-p collisions is predicted.