In this paper we present the experiment results of the space correlations of temperature fluctuations when there is and is not temperature gradient. From those results we can see clearly that the temperature fluctuation field is isotropic without temperature gradient, and it is obviously anisotropic with temperature gradient. The temperature correlation along gradient direction β is obviously larger than the vertical to β direction. Our experiment results agree with the theory results of D.W. Dunn and W.H. Rend[1].