Many convenient graph drawing tools have been developed to visualize the relational information among the large massive data sets. This paper presents a new system for drawing large undirected graphs in the two-dimensional and three-dimensional space, called LGES. It employs a fast novel algorithm to beautify the layouts, which adopts the multi-level method as the framework of the algorithm, and uses the improved force-directed algorithm to refine the single-level layouts. Experiments prove its high performance and nice results. It takes around 5 seconds to draw 10,000 vertex graphs in the twodimensional space and around 40 seconds in the threedimensional space. Moreover, the independent components provided by the LGES system are attractive for its further development and application.