The invention discloses a cornering longitudinal vehicle speed control method and device of an adaptive cruise system and a computer-readable storage medium. The method includes the steps that in response to the fact that a front vehicle tracked by a current vehicle is always kept in the field of view of the current vehicle, the cornering speed of the current vehicle is controlled to meet the formula V=Min (the speed of the tracked front vehicle, the corner speed limit value, and the set cruising speed of the current vehicle); in response to the fact that the front vehicle tracked by the current vehicle disappears and no new tracking target is recognized, the cornering speed of the current vehicle is controlled to meet the formula V=Min (the instant speed of the current vehicle when the front vehicle disappears, the corner speed limit value, the maximum cornering speed value of the current vehicle, and the set cruising speed of the current vehicle); in response to the fact that the front vehicle tracked by the current vehicle disappears and a new tracking target is recognized, the cornering speed of the current vehicle is controlled to meet the formula V=Min (the instant speed of the current vehicle when the front vehicle disappears, the corner speed limit value, the speed of the newly recognized tracking target, the maximum cornering speed value of the current vehicle, and theset cruising speed of the current vehicle). The method can improve the safety, comfort and rapidity of the adaptive cruise system in the cornering process.