Theoretical studies concerning MHD source waves of long-period (T=10-600s) magnetic pulsations are reviewed. The source waves can be classified into two groups: One is external origins, that are upstream waves driven by the ion beam instabilities in the earth's foreshock, surface waves excited by the Kelvin-Helmholtz instabilities in the magnetospheric boundary, and sudden impulses caused by an interplanetary shock and dayside reconnection. The other is internal origins , e.g., drift mirror instabilities in ring current hot ions and sudden changes during substorm onset in the nightside magnetosphere. The upstream waves, the surface waves, and the drift waves associated with a finite energy distribution and a finite thickness of layered plasma show a narrow-band frequency, while the sudden impulses have a broad-band frequency. These source waves with a nearly monochromatic frequency and a broadband frequency can couple into standing field-line oscillations in the inner magnetosphere through the field-line resonance mechanism.