The Oguchi theory of antiferromagnetism has been modified for antiferromagnetically interacting spin-pair systems with anisotropic exchange interaction. The parallel and perpendicular susceptibilities $({chi}_{parallel};and;{chi}_{perp})$ have been expressed as functions of exchange interactions $(J_z;and;{gamma}=J_x/J_z)$, anisotropic molecular field parameters $({kappa};and;{kappa}_x)$, $g_z;and;g_x$. In contrast to the previous theories, the parallel susceptibilities are not the same as the perpendicular susceptibilities above Neel temperature $T_N$.