This paper proposes a novel method for inferring roads using GPS records from construction sites. Inferring roads in construction sites presents a unique challenge, since the irregular and non-standard movement patterns of construction equipment differ significantly from vehicle traffic on conventional roads. The proposed method first identifies intersections that serve as critical decision points in the road network, and then creates a graph by connecting them with edges. This graph can then be used for planning and task allocation. We demonstrate the method by mapping roads in a real construction site in Norway. The method is validated on four increasingly complex segments of the map. Experimental results show that the method achieves perfect accuracy in intersection detection and road inference in areas with no or little noise, but degrades in areas with significant noise and persistent missing GPS updates.