  We study quantum noise in a nonequilibrium, periodically driven, open system
attached to static leads. Using a Floquet Green's function formalism we show,
both analytically and numerically, that local voltage noise spectra can detect
the rich structure of Floquet topological phases unambiguously. Remarkably,
both regular and anomalous Floquet topological bound states can be detected,
and distinguished, via peak structures of noise spectra at the edge around
zero-, half-, and full-drive-frequency. We also show that the topological
features of local noise are robust against moderate disorder. Thus, local noise
measurements are sensitive detectors of Floquet topological phases.
