The structural evolution pattern and electronic properties of Lu-doped germanium anion clusters, LuGe n − (n = 5− 17), have been investigated using a global search method combined with a double hybrid density functional theory and by comparing the theoretical PES spectra with the experimental ones. It is found that, for the structural growth patterns, a Lu-linked configuration is preferred for n = 10−14 in which the Lu atom as a linker connects two Ge subclusters and a Lu-encapsulated Ge cage-like motif is preferred for n = 15−17. The simulated PES spectra agree with experimental ones, revealing that the current global minimum structures are the true minima. The properties such as relative stability, charge transfer, highest-energy occupied molecular orbital−lowest-energy unoccupied molecular orbital (HOMO− LUMO) gap, IR, Raman, and ultraviolet−visible (UV−vis) spectra have been evaluated. The results of IR and Raman spectra could provide additional ways to experimentally identify the structure of these clusters. The results of stability, HOMO−LUMO gap, and UV−vis spectra could make the LuGe 16 − cluster the most suitable building block for further development as a potential optoelectronic material.