We demonstrate that superconducting gatemon qubits based on superconductor-semiconductor-superconductor Josephson junctions can be constructed on hole-type Ge/Si core/shell nanowires. The frequency of the qubit can be set firstly by controlling the diffusion of Al in the nanowire via thermal annealing, which yields a roughly suitable critical supercurrent for the junction, and then by fine tuning of a gate voltage, by which an accurate adjustment of the frequency can be realized. On the resulted qubit, Rabi oscillation with an energy relaxation time T1~180 ns was observed in the time domain, and the gate voltage dependence of both T1 and the dephasing time T2 was investigated. Such a hole-type superconducting gatemon qubit, based on materials with strong spin-orbit coupling and the absence of hyperfine interaction, could be used for exploring the quantum coherence phenomena of hole-gas and potentially also Majorana physics in Ge-based quantum devices.