We report a method for passive piezoelectric shunt-damping of multiple vibration modes using a single piezoelectric transducer (PZT). The method, which is different from other multiple-mode shunting (Edberg et al., 1992; Hollkamp, 1994), is to employ a blocking circuit in series with each parallel resistor-inductor shunt circuit designed to control one structural mode. The blocking circuit consists of one parallel capacitor-inductor antiresonant circuit or a series of them. The number of the antiresonant circuits in each shunt circuit depends on the number of the structural modes to be controlled simultaneously. These antiresonant circuits are designed to produce infinite electrical impedance, or antiresonance, at the natural frequencies of all other shunt circuits. Each shunt circuit with the addition of the blocking circuit is functional for its own mode yet blocks or causes open circuit for all other frequency modes. Therefore, when the individual shunt circuits are all connected to the two terminals of the PZT to form a composite shunt circuit for the multiple-mode shunting, they will not interfere with each other. The method is also easier and more reliable for finetuning and damping control. We analyze first the multiple-mode shunt-damping circuit with both the generalized circuit and the modified circuit. The latter derived from the former is intended to reduce the number of the antiresonant circuits and to make the composite shunt circuit simpler to operate. Experimentally we have designed two modified shunt circuits and successfully demonstrated vibration reduction of two and three structural modes with a single PZT transducer bonded on a two-wing aluminum cantilever beam. For three-mode shunt damping, the resonant amplitudes at 206, 348.5, and 484.5 Hz are reduced for 13.28, 7.30, and 9.45 dB, respectively.