[en] An origin of the anisotropic Copper pairing in heavy fermion superconductors is discussed on the basis of the interaction mediated by the antiferromagnetic spin-fluctuations which are observed in experiments. Such interaction promotes the anisotropic even-parity pairings but suppresses the odd-parity as well as the isotropic even-parity pairings. Transport properties at low temperatures are also discussed in relation to the gap structure of Cooper pair, which shows that different kinds of existing experiments can be explained by a gap vanishing along the line(s) on the Fermi surface. (orig.)