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The system as a whole is composed of various interrelated sub-systems. The effect of a system will be affected by the coordination of other systems associated with it. Only when the complementarity and coordination between systems increase can the implementation effect of the system be fully brought into play. As an informal system, social trust can affect the implementation effect of formal environmental regulations, but there are few studies on the moderating effect of social trust on the impact of environmental regulations on carbon emissions. Based on this, the panel data of 281 prefecture-level cities in China from 2010 to 2019 were selected as research samples. The moderating effect model and mediated moderating effect model were used to study the moderating effect and mechanism of social trust on the impact of environmental regulations on carbon emissions. In addition, the heterogeneity of this moderating effect was tested by region. The results showed that: ① The impact of environmental regulations on carbon emissions showed an inverted Ushaped nonlinear relationship, and the promotion effect of environmental regulations on carbon emissions was dominant in the present stage. FDI, the upgrading of industrial structures, and R&D innovation were important mediating channels for environmental regulations to affect carbon emissions. ② As a moderating variable, social trust positively moderated the impact of environmental regulations on carbon emissions and accelerated the arrival of the inflection point of the inverted U-shaped curve. ③ In terms of the mediating effect, the moderating effect of social trust on the impact of environmental regulations on carbon emissions was realized through the mediating effect of FDI, the upgrading of industrial structures, and R&D innovation, and the impact of social trust on the inflection points of the three intermediary channels was heterogeneous. ④ The moderating effect of social trust had regional heterogeneity. In small cities, the impact of social trust on environmental regulations on carbon emissions was greater than that in large and medium-sized cities. The moderating effect of social trust was greater in the cities without environmental protection than in the cities with environmental protection. The above conclusions were still valid after a series of robustness tests. It is hoped that this paper can enrich the relevant research on environmental regulations and social trust and be helpful for local governments to formulate relevant policies according to local conditions, improve the carbon emission reduction effect of environmental regulation, and accelerate the green development and transformation of Chinese cities. [ABSTRACT FROM AUTHOR]