  We discuss the spin susceptibility of superconductors in which a Cooper pair
consists of two electrons having the angular momentum J=3/2 due to strong
spin-orbit interactions. The susceptibility is calculated analytically for
pseudospin quintet states in a cubic superconductor within the linear response
to a Zeeman field. The susceptibility for $A_{1g}$ symmetry states is isotropic
in real space. For $E_g$ and $T_{2g}$ symmetry cases, the results depend
sensitively on choices of order parameter. The susceptibility is isotropic for
a $T_{2g}$ symmetry state, whereas it becomes anisotropic for an $E_{g} $
symmetry state. We also find in a $T_{2g}$ state that the susceptibility tensor
has off-diagonal elements.
