A control system for a work vehicle includes a sensor and a controller. The sensor outputs a signal indicating an actual traveling direction of the work vehicle. The controller communicates with the sensor. The controller is programmed so as to execute the following processing. The controller acquires the actual traveling direction of the work vehicle. The controller sets the actual traveling direction as a target traveling direction when a condition that indicates that the work vehicle has started straight travel has been met. The controller calculates a bearing difference between the target traveling direction and the actual traveling direction. The controller moves the work implement at a target tilt angle corresponding to the bearing difference so as to reduce the bearing difference.