Ab initio calculations of a number of singlet electronic states of pyrimidine are presented. In addition to the ground 1A1 state, ten valence excited states were studied: three 1A1 and three 1B2 states, which are ππ* excited states, and two 1B1 and two 1A2 states, which are nπ* excited. Rydberg states were encountered, but since these were irrelevant to the present study, the basis set employed was not designed to describe these states well, and their energy relative to the valence states will be incorrect. Such spurious states may perturb the valence states by accidental near-degeneracy, and care was taken to effectively remove them to prevent such perturbation. The calculation were performed by the CASSCF and MRCI methods, using a modest basis set (C, N: 3s3p1d; H: 2s; 116 basis functions) of ANO type. Energies, dipole and quadrupole moments, transition moments, and oscillator strengths are reported. All calculations were made using the experimental equilibrium geometry, and all excitation data are therefore vertical. The MRCI excitation energies, corrected for unlinked clusters, give results in good agreement with known experimental data. The error in the computed excitation energy is in no case larger than 0.4 eV. In some cases, alternative assignments of experimental energies are indicated.