A laser positioning system is described. The laser positioning system provides a positioning and guidance system that is suitable for environments that have external disturbances such as those caused by wind, equipment movement, vibration, and the like. The laser positioning system of the present invention uses at novel laser line beacon positioning system in optical communication with a novel laser line receiver to achieve accurate positioning in environments with external disturbances, something that has previously not been attainable. In some embodiments, a target or series of targets are used to create a reference by which the laser line receiver and an associated moveable assembly such as a robotic arm assembly are able to accurately place building elements such as bricks. Exemplary applications of the laser positioning system include, but are not limited to, accurate positioning of bricks in a wall under construction by a robotic brick laying system.