Non-thermal plasma (NTP) activated heterogeneous catalyst (i.e. NTP-catalysis) systems have many advantages, such as mild reaction conditions, faster response, and possible compact reactor configuration, presenting wide application foreground in the catalytic transformation of single-carbon (C1) molecules [CO2 hydrogenation, methane activation, water-gas shift (WGS) reaction, and methanol-reforming for hydrogen (H2) production]. In detail, the high energy electron of plasma can quickly activate C1 molecules in the gas-phase to generate reactive species, which will interact with the heterogeneous catalyst to ignite surface chemical reaction, and hence efficiently catalytic conversion of C1 molecules under mild conditions. However, the synergic mechanism between plasma and catalyst, as well as relevant catalytic reaction mechanisms, are highly complex, which require further investigation. This review briefly presents the state-of-the-art of NTP-catalysis for catalytic conversion of C1 molecules. Specific attention focuses on ①the design and development of bespoke heterogeneous catalysts for NTP-catalytic conversions of C1 molecules and ② mechanistic investigations of catalytic conversions of C1 molecules under NTP conditions using advanced in situ characterization methods. Additionally, future perspectives of NTP-catalysis are also proposed in this review including ① the design and development of tailor-made catalysts for NTP-catalysis, and study their structure-reactivity relationships, ② the development of advanced in situ characterization techniques for gaining further insights into the function mechanisms of active species and the catalytic reaction mechanisms, ③ the design and development of highly efficient plasma catalytic reactor, and the development of theoretical model and numerical simulation method for developed reactor, providing the scientific guidance of the design, optimization and scaling-up of plasma catalytic reactor.