The time series of sonic temperature on 13 to 17 January 2011 are analysed. Not only the classical Kolmogorov structure parameter C2n is obtained with method of structure function and spectrum analysis,but also the non-Kolmogorov turbulence characteristic parameters such as non-Kolmogorov power law α, generalized structure parameter 2n, equivalence structure parameter 2n are measured.Based on the experimental results, it can be seen as follows. 1) The frequency of power law of the one-dimensional non-Kolmogorov spectrum that range is －1.9<-α1<-1.5 is 77.9%. The -α1 under weak turbulence is more flat than Kolmogorov -5/3 law spectrum. 2) The C2n values derived from structure function analysis and spectrum analysis are slightly difference. 3) The trend and order of magnitude agrees well between C2n and 2n, and the discrepancy is that C2n can be smaller than 2n when weak turbulence occurs, in that moment the power spectrum is usually flatter than the -5/3 Kolmogorov theory. 4) The trend and order of magnitude agrees well between 2n and 2n, and the discrepancy is that 2n has a little fluctuant, and can change according to different values of wavelength and propogation length.