The present invention relates to a method for the recognition and tracking of a moving object, in particular of a pedestrian, from a motor vehicle, at which a camera device is arranged. An image of the environment including picture elements is taken in the range of view of the camera device (20) by means of the camera device at regular time intervals and those picture elements are identified with the help of an image processing system which correspond to moving objects to be tracked. A picture element is extracted for each of these objects which represents a projection in image coordinates of that spatial point at which the object contacts a road plane The movement of the corresponding spatial point in the road plane is tracked by means of a state estimator which uses an at least four-dimensional state vector whose components are a position of the spatial point in the road plane and an associated speed in the road plane, wherein the tracking of the movement by the state estimator includes the steps that a prediction is generated for the state vector, this prediction is converted into image coordinates via suitable projection equations, an error to be expected for this prediction is calculated in image coordinates by means of a covariance matrix, and this prediction is compared with the picture element extracted in a later image and is updated.