Based on the related results of existing literature, a state space about a k ind of chaotic econom2 ic time series is reconstructed using themethod of L egendre coordinate in th is paper. Several different scal2 ing regimes for lag time S are identified. The influence for state space reconstruction for th is econom ic chaotic dynam ics of lag time S is discussed . The results show us that th is app roach is a good p ractical method for state space reconstruction.