The autoionising energy levels of Cu atoms in the vapour phase have been investigated by ejected-electron spectroscopy. Following excitation by electron impact at 9-500 eV incident electron kinetic energy, autoionised electrons were detected with energies in the range 0-3.5 eV corresponding to 41 non-radiative transitions. The autoionising levels have been assigned with the aid of new ab initio pseudorelativistic Hartree-Fock calculations with configuration interaction, and by comparison with earlier photoabsorption data. For high incident electron energies, the observed autoionisation features are predominantly associated with decay of the Cu I 3d94snp (n=4, 5, 6 . . .) J=1/2, 3/2 levels to continua based on the Cu II ground state, although the absence of autoionising features whose energies exceed that of the Cu II 3d94s 3D3 final state indicates that when energetically permitted this is the preferred channel. At low incident electron energies, both parity-forbidden and J-forbidden levels are observed to autoionise.