The concept of the "complexity" of any object is its important of information-structural characteristic, and is one of the fundamental scientific concepts. Is no exception and a more narrow concept of the "complexity of dynamic process". With it linked the predictability and information capacity of processes. It is part of the many criteria for classifying the processes as deterministic, chaotic, stochastic. However, along with this, questions of definition and calculation the complexity of dynamic processes remains of methodologically open. In this report, we proposed an original approach to the evaluation and analysis the complexity of chaotic sequences – through the study of their structural properties in the aspect of the forms of their trajectories in the terms of symbolic CTQ-analysis (the so-called TQ-complexity).