The present disclosure provides a microwave cooking apparatus, a control method, and a storage medium. The microwave cooking apparatus comprises: a housing capable of enclosing a heating chamber therein; a solid microwave source disposed on the housing and used for emitting a first variable-power microwave; an antenna connected to the solid microwave source and used for feeding the first variable-power microwave into the heating chamber; and a controller connected to the solid microwave source and used for controlling the solid microwave source to operate and adjusting the first variable-power microwave. According to the technical solution of the present disclosure, on one hand, a better heating effect is able to be achieved for sealed foods, and on the other hand, a better unfreezing effect is also able to be achieved because the power of a solid microwave source is much lower than that of a magnetron so that during an unfreezing operation, foods to be defrosted will not be locally cooked resulting from local overheating caused when the foods to be defrosted locally absorbs too much heat due to excessive power.