We consider the spin response within the five-orbital model for iron-based superconductors and study two cases: equal and unequal gaps in different bands. In the first case, the spin resonance peak in the superconducting state appears below the characteristic energy scale determined by the gap magnitude, $2Delta_L$. In the second case, the energy scale corresponds to the sum of smaller and larger gap magnitudes, $Delta_L + Delta_S$. Increasing the values of the Hubbard interaction and the Hunds exchange, we observe a shift of the spin resonance energy to lower frequencies.
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