[en] To study the anisotropic Josephson-vortex dynamics in the d-wave superconductors, the interplane resistance has been measured on layered organic superconductors κ-(ET)₂Cu(NCS)₂ and β-(BDA-TTP)₂SbF₆ under magnetic fields precisely parallel to the conducting planes. For κ-(ET)₂Cu(NCS)₂, in-plane angular dependence of the Josephson-vortex flow resistance is mainly described by the fourfold symmetry and dip structures appear when the magnetic field is applied parallel to the b- and c-axes. The obtained results have a relation to the d-wave superconducting gap symmetry. However, the absence of in-plane fourfold anisotropy was found for β-(BDA-TTP)₂SbF₆. The different anisotropic behavior is discussed in terms of the interlayer coupling strength.