Anti-synchronization of chaotic systems is a research problem that deals with synchronizing the states of master and slave systems at a phase of 180 degrees, i.e. the states are equal in magnitude but opposite in sign. This paper deals with the anti-synchronization research problemof identical hyperchaotic Lusystems (Zhao and Lu, 2008) and new results are derivedvia sliding mode control. This paper constructs an antisynchronizing sliding controller for hyperchaotic Lu systems based on a general result. MATLAB simulations have been shown to illustrate our sliding controller design for hyperchaotic Lu systems.