Consider the Cauchy problem for the non-degenerate Kirchhoff type dissipative wave equations with the initial data belonging to (H2(RN)∩L1(RN))×(H1(RN)∩L1(RN)). Using the Fourier transform method in the L2 ∩ L1-frame, we can improve the decay rates of the energies given by the energy method of the L2-frame