The strain-rate-dependent plasticity under uniaxial compression at the strain rates of 2 × 10−3, 2 × 10−4 and 2 × 10−5 s−1 in a Pd77.5Cu6Si16.5 alloy is investigated. At different strain rates, the serration events exhibit different amplitudes and time scales. The intersection effects take place obviously, and the loading time is much longer than the relaxation time in the serration event at three strain rates. However, the time intervals between two neighboring serrations lack any time scale, and the elastic energy density displays a power-law distribution at the strain rate of 2 × 10−3 s−1, which means that the self-organized critical (SOC) behavior emerges with increasing strain rates.