Provided are a cutting device and method. A blade receiving portion crossing a cord-embedded rubber sheet member is disposed in one surface side in a thickness direction of the rubber sheet member placed in a conveying mechanism. A cutting blade disposed in the other surface side is held by a holder that rotates about a turning shaft extending in the thickness direction of the rubber sheet member. In a state where a cutting-edge advancement direction turns about the turning shaft, a turning restoring force that restores the cutting-edge advancement direction to a preset moving direction is constantly applied by a turning restoring mechanism to the holder before cutting the rubber sheet member. The rubber sheet member is sandwiched in the thickness direction by the cutting blade and the blade receiving portion, and the cutting blade is moved in the extension direction of cords to cut between the cords.