Proton inelastic scattering on the neutron-rich nucleus 32 Mg has been experimentally studied at E lab = 46.5 MeV / nucleon in inverse kinematics. The energies of excited states in 32 Mg were obtained by measuring de-excitation γ rays. Several new states were identified by γ-γ coincidence analysis. Their spins and parities were restricted and the deformation parameters βp,p′ were extracted from the measured angular distribution of the proton inelastic scattering. The present analysis favors 4+ for the spin and parity of the 2321-keV state.