A method for determining a position of a machine is disclosed. The method may include determining, using a Lidar unit on the machine, input data associated with distances between the Lidar unit and respective light-reflective points in the worksite. The method may also include comparing the input data with comparison data. The comparison data may have reference data sets indicative of distances between reference positions and the respective light-reflective points in the worksite. The reference positions may have a fixed location in the worksite. The method may further include determining the position of the machine as the reference position corresponding to a reference data set that correlates with the input data set.