  Landau's quantization for incompletely nested Fermi surfaces is known to give
rise to magnetic-field-induced spin-density waves(FISDW) in two-dimensional
organic metals. Here we show that three-dimensional(3D) systems can have
3D-specific series of FISDW phases as energetically stable states, for which we
clarify how and why they appear as the magnetic field is tilted. Each phase is
characterized by quantized Hall effect for each of $\sigma_{xy}$ and
$\sigma_{zx}$ that reside on a fractal spectrum like Hofstadter's butterfly.
