The dependence of transition probabilities on the frequency and the strength of a circularly polarized electric field is studied theoretically for the He atom. Regularities in the behavior of the probabilities were revealed and investigated. It was shown that the transition probabilities and lifetimes of the Stark energy levels have the polynomial dependence on the electric field strength. It was found that an increase in the frequency of the electric field leads to a decrease in the sensitivity of the transition probabilities to the electric field strength. An anisotropy of the probabilities for transitions between Stark levels was studied.