The present invention relates to a serverless computing method and apparatus, and more particularly, to a serverless computing method and apparatus using mutual monitoring between network edges. The serverless computing method according to one embodiment of the present invention comprises monitoring, by an event handler of the first network edge, an event occurring in the second network edge, generating, by an event generating module of the second network edge, an event response signal through filtering on the event in response to the event occurring, transmitting, by an event delivery module of the second network edge, the event response signal to the event handler of the first network edge, and scaling an application, by an auto-scaler, in the first network edge based on the event response signal.