A series of fluoroindate glasses, both binary (xInF3.[1-x]MF2, M = Sr, Ba) and multicomponent (InF3-ZnF2-SrF2-BaF2-CdF2), have been prepared and their infrared absorption and reflection spectra were measured. Polarized Raman spectra were also recorded for all the different glass compositions. Starting with the binary compositions, some structural conclusions were derived for these fluoroindate glasses, whose structure is still virtually unknown. The In atoms appear to be always in octahedral coordination, as inferred from both the infrared and Raman spectra, the latter being dominated by a highly polarized high frequency mode at approximately 509 cm-1, in a fashion similar to fluorozirconate glasses. Other features in the vibrational spectra provided additional insight into the structural environments of the glass cations, namely, Zn.