The panel data of the 30 provinces,autonomous regions and municipalities(except Tibet,Hong Kong,Macao and Taiwan,hereinafter referred to as provinces)in China from 2010 to 2020 are selected,the characteristics of industrial production are combined,the unexpected SBM model is used to calculate the industrial carbon emission efficiency of the provinces in China,and the distribution of industrial carbon emission efficiency of the provinces in China and the development trend are analyzed and interpreted in combination with Moran index,kernel density,and spatial Markov chain model.The results shows that during the sample period,the industrial carbon emission efficiency has decreased first and then increased.Since 2013,industrial carbon emission efficiency has shown a significant positive spatial correlation in the provincial space.The provincial distribution of industrial carbon emission efficiency is decentralized-aggregated-decentralized.The regional difference increases with a trend of polarization,and there is an obvious time lag and spatial spillover effect.