Pressure-induced phase transitions in Eu₂(MoO₄)₃ single crystals were studied by fluorescence spectroscopy in the range of ambient pressure to 10 GPa. The spectral range investigated was limited to the ⁵D₀→⁷F_J, J=0,1,2, transitions. First, low temperature data at ambient pressure were collected for assigning spectra. The spectral changes observed with pressure increase were interpreted in terms of consecutive structural transitions, and possible space groups for the corresponding phases are proposed. A comparison between x-ray diffraction and optical spectroscopic data serves to indicate that amorphization in Eu₂(MoO₄)₃ begins by a disordering of the oxygen sublattice.