  We study the two-point functions from chiral kinetic theory which
characterize the response to perturbative vector and axial gauge fields in
magnetized chiral plasma. In the lowest Landau level approximation, the
solution of chiral kinetic equations gives density waves of electric and axial
charges, which contain chiral magnetic wave implied by the axial anomaly and
magnetic field. We then obtain the constitutive relations for covariant
currents and stress tensor that involving the density waves. By considering the
difference between consistent and covariant anomalies explicitly, the
correlators of consistent currents and stress tensor satisfy derivative
symmetry, and therefore allow an effective action for the perturbative gauge
fields as the generating functional of the correlators. We also verify the
derivative symmetry of the correlators agrees with the Onsager relations.
