Time-sensitive networking (TSN) is an important research area to update infrastructure of industrial internet of things. Deterministic transmission in TSN is the key technology, mainly including time-triggered scheduling in control plane, mixed-criticality transmission, and deterministic delay analysis, to support deterministic real-time transmission requirements for industrial control. This study surveys the related works on deterministic transmission technologies of TSN in recent years and systematically cards and summarizes them. First, this study presents the different transmission models of different kinds of flows in TSN. Second, based on these models, on the one hand, this study presents time-triggered scheduling model and its research status and existing challenges on control plane. On the other hand, this paper presents the architecture of TSN switches, the strategies of mixed-criticality transmission and their disadvantages and the corresponding improvement approaches. Third, this study models the transmission delay of the whole TSN based on netowork calculus and presents the delay analysis methods, their research status and possible improvement directions. Finally, this study summarizes the challenges and research prospects of deterministic transmission technologies in TSN.