An apparatus for recording the rotation angle of a vehicle comprises an angular velocity sensor adapted to measure an angular velocity ω of the vehicle, an integrator adapted to integrate the measured angular velocity ω across a predetermined unit of time Δt to calculate a differential rotation angle Δα in unit of time Δt, a ring buffer adapted to store the differential rotation angles Δαan acceleration sensor adapted to detect that an accident occurred with the vehicle, and a nonvolatile recording device adapted to record, when an accident is detected by the acceleration sensor, the differential rotation angles ΔαM . . . ΔαM+N−1 stored in the ring buffer, across a predetermined recording time T before and after the accident.