Disclosed is a metal hydride plate-fin heat exchanger, which belongs to the industrial heat exchange and energy saving technique field. The invention comprises: an upper cover plate, a fluid path flat tine fin, a spacer plate, reaction bed units, a fluid path tail sealing tape, a lower cover plate, a bolt component, a through hole flanged disc, a blind plate flanged disc, a fluid path head sealing tape, a hydrogen pipe, a fluorine rubber flange gasket, a rear enclosing cover, a front enclosing cover, a liquid inlet, a liquid outlet, a filter sheet gasket and a millipore filter sheet. Each reaction bed unit includes an upper cover plate, a unit tail sealing tape, a unit lateral sealing tape, a lower cover plate and a unit serrate fin. Each reaction bed unit has an open end and is welded with a serrate fin in the inside, thereby the heat exchange area and the effective thermal conductivity are greatly increased, and the intensity of a heat exchange unit can also be ensured under the condition of increasing the heat capacity of the heat exchange unit indistinctively. In addition, filtration and sealing difficulties of metal hydrides are greatly reduced by adopting the structure that all the reaction bed units are connected and fixed on the through hole flanged disc in parallel, meanwhile, the mass transfer capability of hydrogen will not be reduced.