The 12 C( 12 C, 14 O) two-proton pick-up reaction has been measured at 211.4 MeV incident energy to study the structure of states of 10 Be up to excitation energies of 12 MeV. The measured partial angular distributions show pronounced oscillatory shapes, which were described by coupled-reaction-channels calculations. Spin-parity assignments could be derived from these characteristic shapes and two definite assignments have been made. The state at 11.8 MeV has been identified as the 4 + member of the ground-state band, and the state at 10.55 MeV is assigned J π = 3 − . At 5.96 MeV only the 1 − 1 member of the known 2 + 2 /1 − 1 doublet is populated. The angular distribution of the peak at 9.50 MeV, which consists of several unresolved states, has been unfolded using contributions from known states at 9.56 MeV, 2 + , and 9.27 MeV, 4 − . The inclusion of a state at 9.4 MeV reported by Daito et al. from the 10 B(t, 3 He) 10 Be reaction and tentatively assigned (3 + ) improved the fit considerably. A K = 2 band is formed with the 2 + 2 state as the band head and the (3 + ) state as the second member. The structures of the K π = 0 + 1 , 2 + 2 , and 1 − 1 bands are discussed.