An understanding of the spatial evolution of global household energy and its determinants is needed to achieve global access to clean cooking energy before 2030. Based on a novel global household energy database, we adopt the log t regression test to identify the global trend and find the potential convergent clubs. Besides, we utilize Random Forest method and Ordered Probit model to investigate the drivers affecting the club convergence. As a result: (1) The global sample exhibits divergence from 2000 to 2020; (2) The 191 countries and regions can be classified into 3 convergent clubs, characterized by significant disparities in both the mean and growth rate of their access to clean energy; (3) Per capita GDP, urbanization level, infrastructure development, and educational attainment are identified as the most important factors influencing the club convergence; (4) Countries with a higher level of socio-economic development generally have a higher proportion of residents using clean fuels, with gas energy playing a pivotal role in driving this transformation. This paper adds more evidence to understand the disparity of global household cooking energy use, we propose that economic and infrastructure development, education attainment, and international cooperation are favorable.