The finite perturbation method is applied to the calculation of the anisotropy of the indirect nuclear spin-spin coupling constants. For CH3F, all the elements of the calculated coupling tensors become larger than those reported in Paper I of this series. However. for the C-H coupling anisotropy. the calculated value is still too small to compare with the experimentally estimated value as large as 1890 Hz. It seems that the effects other than the electronic one is important.