This paper discusses the uncertainty spillover among climate policy, economic policy, energy market and geopolitics, using time-varying parameter vector autoregression (TVP-VAR) connectedness approach. The major results show that the total connectedness index (TCI) is dominated by long-term connectedness in static analysis. The main spillover transmitters are climate policy uncertainty in China (CPUC) and economic policy uncertainty (EPU) while the receivers are the USA (CPUS) and energy-related uncertainty (ERU) when considering time and frequency. Next, in the dynamic analysis, the TCI exhibits a downward trend, and the net total directional connectedness indicates that CPUC is still a pure transmitter, while CPUS plays a completely opposite role. Finally, dynamic net pairwise analysis shows that CPUC exerts spillovers on EPU, ERU and geopolitical risk. Conversely, CPUS is more likely to accept the shock of other uncertainties. The major contribution is that the different uncertainties are incorporated into a unified research framework, and explain the detailed influencing channels. More importantly, this paper recognizes the different roles of CPUC and CPUS in the entire uncertainty connectedness with considering time and frequency, and argue that China is reshaping global economy, energy market and geopolitical situation. Some policies, including prudent and firm climate policy, international climate cooperation, and depoliticization in climate-related decisions, are provided for promoting economic development, stabilizing energy market and geopolitical tensions.