We study the statistical properties of the soft gamma repeater SGR 1935+2154. We find that the cumulative distributions of duration, waiting time, fluence, and flux can be well fitted by the bent power law. In addition, the probability density functions of fluctuations of duration, waiting time, fluence, and flux can well follow the Tsallis q-Gaussian function. The q values keep steady for different temporal scale intervals, indicating a scale-invariant structure of the bursts. Those features are very similar to the property of repeating fast radio burst FRB 121102, indicating the underlying association between origin of soft gamma repeaters and fast radio bursts.