Despite the important role of state-owned enterprises (SOEs) in government policy implementation, there is a lack of research on how SOEs owned by different government entities differ. We draw on an attention-based view (ABV) to understand how central government-owned (called central SOEs) and local government-owned enterprises (called local SOEs) differ in their response to digitalization, a major state objective in China in recent years. The two types of SOEs differ in the foundational feature of attention structure – the rules of the game (as embodied in their different goals, identities, and evaluation of top executives) – as well as important features such as governance structures and resources. These features can trigger more attention in central SOEs to digitalization. Given the interdependence of these features in shaping the structural distribution of attention, we further propose how governance structures and resources can influence strategic attention differently in SOEs with different rules of the game. The arguments are tested using data from all Chinese-listed manufacturing SOEs between 2009 and 2020. The study reveals different responses to national strategy between central and local SOEs due to their distinct attention structures designed by the state. It also extends the ABV and research on corporate digital transformation.