We report on the gyroscopic effect detection in the bidirectional ultra-short pulse hybridly mode-locked erbium-doped all-fiber ring soliton laser. Owing to the Kerr nonlinearity contribution through self-phase modulation and self-steepening effects to the carrier-to-envelope phase slip of both clockwise and counterclockwise solitons, wideband controllable tuning of a gyroscope bias point has been demonstrated by means of appropriate adjustment of either intracavity polarization or pump power. Angular velocity detected ranges from 0.12 deg/s to 90 deg/s while rotation sensitivity reaches 7 kHz/(deg/s) for 0.79 m2 single-coil ring gyroscope in agreement with a calculated scale factor value. The bias point drift responsible for the gyroscope resolution capabilities has been studied on long (during 35-h-long continuous operation experiment) and short (∼1 min) time scales.