Abstract: Turbulent motion exists widely in nature in a variety of open channel flows, and a good understanding of its velocity behaviors is practically of great significance helping solve the engineering problems related to sediment movement, pollutant diffusion in rivers, and fluctuating pressure in high-speed flows. This study conducts a flume experiment of the turbulent flows in an open channel using the ADV technique to measure turbulent velocities at the points of sampling lines, and adopts the wavelet theory to analyze the measurements and the characteristics of turbulence. Results show that fractal dimension and self-similarity feature the turbulent velocities measured and the energy spectrum on each band obtained through multi-scale wavelet packet decomposition, and that this fractal dimension is not a fixed value but varies in space with certain trends and volatility. When we consider the flow Reynolds number as a factor of the fractional dimension, the turbulence velocity signals of the same sampling point are discussed separately for each space direction. At low Reynolds numbers, the fractal dimensions depend mainly on the dissipation of small scale eddies.