The invention discloses an event-driven analog/digital converter and a compressed sampling method of the event-driven analog/digital converter. The converter comprises a 1-bit digital/analog converter, a direction comparator, a direction control logic, a multiplexer, a crossing comparator, a sawtooth control logic, a time measurer, a threshold value generator control logic and a threshold value generator. The compressed sampling method comprises the steps that S41, an analog signal is converted into a sawtooth signal; S42, the change direction of the sawtooth signal is judged; S43, the sawtooth signal and a threshold value upper bound or threshold value lower bound are output; S44, the sawtooth signal is compared with the threshold value upper bound or threshold value lower bound, whether a sampling action is triggered is judged, if yes, the S45 is executed, and if not, the S44 is executed again; S45, the sampling action is triggered, and sampled pulse signals are generated; S46, the time interval of the sampled pulse signals is measured, and a threshold value interval is changed according to the time interval. The event-driven analog/digital converter reduces circuit area and is low in system noise and low in power consumption.