In a small superconducting electrode connected to a reservoir via a Josephson junction, we can realize an artificial two-level system in which two charge-number states of the electrode are coupled by Cooper-pair tunneling. We have investigated quantum coherence in the two-level system through two complementary experiments: (i) photon-assisted Cooper-pair-tunneling spectroscopy of the energy-level splitting in the frequency domain, and (ii) pulsed-gate control of the quantum state to observe the coherent oscillations in the time domain. Our results demonstrate the existence and the persistence of the coherence for at least similar to 30 cycles of the oscillation. (C) 2000 Elsevier Science B.V. All rights reserved.