Ab initio calculations of nitrogen NMR chemical shielding tensors are presented for square–pyramidal cobalt model complexes with an apical nitrosyl ligand as a function of the geometry of the CoNO grouping. It is shown that the isotropic nitrogen shielding decreases with increasing N–O distance (in the range 101–116 pm) and with increasing CoN distance (in the range 173–193 pm). With increasing CoNO angle, in the models studied, the isotropic shielding initially decreases up to about 140° and then increases. For complexes with the same CoNO geometry and S-, N- or O-ligating coligands, the shielding increases in the order S<N,O. The variation of the shielding with CoNO geometry is mainly due to variations in the shielding tensor component parallel to the NO bond which mixes n(N) and π ∗(NO) orbitals. The calculations give no evidence for differing CoNO geometries producing similar isotropic shieldings but very different spans and skews of the shielding tensor, as given by the experiment in some series of compounds. It is likely that there is CoNO motional averaging (libration or spinning) in the solid state, as described for [Co(NO)(TPP)], in complexes for which anomalously small spans are observed.