We study low-energy shape oscillations of negative parity in the first and second (isomeric) minima in actinides. As a main tool, we use the phenomenological Woods-Saxon potential with a variety of shape deformations. This allows including a mixing of various multipolarities when considering oscillations with a fixed K quantum number. The phonon energies are determined either from the collective Hamiltonian with the microscopic-macroscopic energy and cranking mass parameters, or from its simplified version with the constant-mass parameters. The results for K π = 0 − , 1 − in the first minima are in reasonable agreement with experimental data, which include predicted E1 transitions; the K π = 2 − energies are systematically overestimated. In the second minimum, as compared to the data for 240 Pu and 236 U, our calculated K = 1, 2 energies are overestimated, while the K = 0 energies are three or more times too large. This signals either a noncollective character of the experimentally assigned K = 0 states or a serious flaw of the model in the second minimum. More data on the K = 0, I π = 1 − collective states in the second minima of other nuclei are necessary to resolve this issue.