In this paper, pulsational instabilities of oxisymmetry in weakly magnetized and isothermal accretion disks are investigated in detail without introducing viscosity law.It is shown that four modes of axisymmetric oscillations exist in the disks, arising from the axisymmetric perturbations. Only when both B z and B φ are present does the magnetic field affect the instabilities of these oscillation modes in the disks.B z and B φ act as destabilizing factors for the two oscillation modes with greater angular frequency (ω I )...