Abstract An SCF scheme for excited states of closed‐shell systems based on the direct minimization technique is discussed. The utility of the scheme is tested for several excited states of H 2 O. The contribution of various tyeps of optimization of orbitals occupied in the excited state is discussed using the example of H 2 O and FNO. It was found that relaxation of doubly occupied orbitals always gives a significnat contribution to the lowering of the excited state energy in the SCF process. Unexpectedly, on the other hand, optimization of the excited orbital in many cases gave negligible results.