The evolution process of the world science produces and develops mathematics. Meanwhile， the development of disciplines of natural science cannot be achieved without mathematics. The theory of Traditional Chinese Medicine (TCM) has the property of natural science， and it naturally shall have its mathematical science foundation， its development also cannot do without the mining and application of mathematical theory system of its connotation. Researching on the mathematical meaning of the core content of theoretical system of TCM syndrome theory shows that TCM complex structure is “point set topology structure”， which manifests the foundation of mathematical and scientific theoretical system of TCM and provides a new concept to the modern language to explain the theory of TCM.