This research looked at how the prices of carbon trading and carbon taxes impact investment decisions in power projects and carbon emissions. The goal was to find the best investment strategy considering uncertain factors like carbon prices and taxes. The study showed that companies should invest to exceed carbon quotas for more profit when carbon prices are low. When prices rise, the government can reduce carbon emissions by imposing specific tax rates on power companies. By combining carbon trading and carbon taxes, the most effective carbon emission reduction can be achieved.