The origin of the IR emission of normal galaxies and its relation to the properties of galaxies is still poorly understood. The IR emission of galaxies typically consists of several components and can be discussed in the framework of an analogue to the diffuse IR emission in our Galaxy. However, the clear identification of and the origin of each component still remain open problems. Low-resolution spectroscopy in a wide wavelength region over the entire galaxy will be the most useful means to study the global nature of each component of the IR emission from external galaxies. We propose to investigate the IR properties of galaxies that will be observed by the mid-IR spectrometer (MIRS), an instrument on the IR survey mission, the IR Telescope in Space (IRTS). The ISO data will complement the MIRS/IRTS data in determining the nature and origin of the IR emission from galaxies. The MIRS is a low-spectral-resolution and wide-field- -of-view spectrometer suited to observations of the mid-IR emission from galaxies. To complement the MIRS/IRTS data we propose here to take LWS01 full grating spectra as well as CAM01 observations to cover the 5 to 200 micron range and identify the components of the IR emission from galaxies unambiguously. The CAM observation will also provide complementary information on the spatial distribution of the shorter IR wavelength emission. The ISO observations together with MIRS/IRTS observations will allow us to (i) separate and identify each galaxy emission component clearly and (ii) to investigate each component in detail. With these results we can investigate the relation of the components with each other as well as with the other properties of galaxies and better understand the IR emission from galaxies.