this paper discriminates the technological progress bias of 30 provinces (cities) in China by constructing a transcendental logarithmic function model including capital, labor and carbon elements, and explores the transmission mechanism that affects carbon emission intensity by constructing a multiple intermediary effect model. and analyze the heterogeneity of the transmission mechanism under different resource abundance. Main conclusions: 1 there is a significant positive correlation between carbon element biased technological progress and carbon emission intensity, and technological progress biased towards carbon saving type helps to promote carbon emission reduction. (2) the carbon factor biased technological progress can indirectly affect the carbon emission intensity through the intermediary effect of energy use efficiency and economic development level. (3) Resource-based provinces (cities) mainly promote the emission reduction effect of carbon-biased technological progress through the path of improving the level of economic development, while non-resource-based provinces (cities) mainly promote the emission reduction effect of carbon-biased technological progress through the path of improving energy efficiency. (4) the emission reduction effect of carbon element biased technological progress has a significant double threshold effect. The greater the energy use efficiency and the higher the level of economic development, the greater the impact of carbon element biased technological progress on carbon emission intensity. Therefore, it is necessary to increase the induction of technological progress towards carbon saving, pay attention to different paths of carbon emission reduction under different resource abundance, strengthen the improvement of energy use efficiency, promote the green development of economy, and help to achieve the goal of "double carbon".