A polarization propagator method based upon an approximate coupled cluster doubles (ACCD) wavefunction is presented and applied to CH+ and Be in calculations of excitation energies and radiative lifetimes. It is found that in these cases the computational results are nearly identical to results obtained using a similar method based on the full coupled cluster doubles (CCD) reference state. Since ACCD is far less time-consuming than CCD the approximate coupled cluster doubles polarization propagator approximatior (ACCDPPA) should be an effective method for large scale computations preserving the quantitative reliability of CCDPPA.