Abstract: Basing on the ergodic theory on chaos and strange attractors, Lyapunov exponent (LE) and fractal dimension (FD) are computed by using the atmospheric turbulent data X (t).In the case of fixed evolution time, the computation technique of LE can be separated into two parts: reconstruction of embedding phase space R(m) from X(t) and computation of LE1 with respect to various parameters. The algorithm for FD can also be separated: reconstruction of R(m) from X(t) and computation of relation integral and dimension for approching to FD. In our work for m=3, LE1 is +0.1—+0.4 and FD is 2.1-2.7. These results are in accordence with theoretical analysis. Moreover, the relations of LE and Fp to some control para meters are represented, respectively.