Sandwich plates containing magnetorheological fluid in the core are nowadays analyzed as an intelligent structure. Because of the rapid change in the viscosity of the fluid in the core, this structure can be used to control the forces of vibration and energy depreciation. For this purpose, in the present study, the most commonly used problems in sandwich plates containing magnetorheological fluid in the core, such as free vibration, static and dynamic stability, have been evaluated and analyzed. In the leading research, the upper and lower layers of the cores are considered in both thin and semi-thick sheets of composite plates. Since the core of the structure is flexible, it leads to the degree of freedom for each of the upper and lower sheets to be independent of each other. For this purpose, in the present research, efforts have been made to extract the strain in the core by establishing interconnections between the core and the upper and lower surfaces of the process. Various factors affect the critical buckling stress, frequency, modal loss factor and structural instability zone width in the dynamic stability problem. These factors include the magnitude of the magnetic field, the magneto-logical fluid thickness, the different boundary conditio and the fiber-positioning of the fibers. The effects of each of them in the area of stability and free vibration are discussed. In order to extract the relationships and indices in the leading research, the Among the results of this study, it can be noted that the increase in the intensity of the magnetic field increases the frequency and loss factor of each mode. Also, increasing the thickness of the fluid has a direct effect on the increase of the loss factor and loss of frequency. On the other hand, as the intensity of the applied field increases, the critical buckling stress and the width of the instability region in the dynamical stability domain increase. Also, increasing the thickness of the core leads to increased buckling stress. However, increasing the thickness of the core causes the unauthorized frequencies and subsequently the width of the instability zone of the structure to decrease. Other factors affecting the dynamic stability problem are the different boundary conditions, which increases the stiffness of the structure due to the greater commitment of the boundaries, increasing the instability zone. Also, the results show that the size of the plate is increased, the width of the unauthorized area decreases. Finally, it should be noted that the angle of fibers on the surface of the upper and lower core, when the plate has a simple boundary condition is, so will be the angle increases from zero to 45 degrees, the width of unstable structures increase Will find. It is worth noting that the effect of the position of the fibers in each of the upper and lower sides of the core is such that in the boundary conditions of the four sides of the joint, the process of changes in the critical buckling stress and the frequency of the vibration is completely symmetric, so that at the angle of 45 degree the highest values ??are obtained. Key words : Sandwich plate; Magnetic fluid; Composite; Free vibration; Finite strip method; Dynamic and static stability.