An aroma-diffusing heating device includes a heating base, and a aroma capsule put in the heating base in a replaceable manner and including a heat-transfer container, an aromatic substance placed in the heat-transfer container, a breathing film consisting of a fiber fixation layer with first pores and a microporous layer with second pores and bonded to the heat-transfer container and a sealing cover releasably bonded to the heat-transfer container over the breathing film.