There are quite tight timing requirements in deterministic low latency network. The IEEE 802.1 Time-Sensitive Networking (TSN) task group has proposed several traffic shapers to satisfy real-time communications requirements. Traditionally, the performance of TSN is analyzed by simulations, whereas these methods cannot cover all corner cases. This paper firstly presented formal models of the TSN's time-aware and peristaltic shapers using UPPAAL, tactically solving the problem mentioned above. Afterward, we verified some properties of the shapers models, of which the results could evaluate whether these shapers are able to satisfy strict timing requirements or not. Based on the models, we can discuss about the performance of time-critical traffic combining the preemption mechanism. More-over, we can also analyze resource utilization and transmission latency. Under the time properties analysis and verification of TSN traffic shapers, we can provide engineers with an accessible reference that may assist them in developing the TSN.