This research scrutinises the correlation between state ownership and the attributes of green innovation, specifically underscoring generality as a primary trait of innovation favoured by governments. Green innovation with generality, due to its applicability across diverse contexts at reduced expense, becomes an appealing strategy for states to address environmental concerns. Consequently, we suggest that state ownership encourages the prevalence of green innovation characterised by generality. Furthermore, we delve into two contingencies related to ascribed and achieved political connections, positing that they, (...) respectively, impose negative and positive moderating influences. Support for our propositions comes from data gathered from Chinese listed firms during the period 2004–2019. By emphasising the importance of green innovation characteristics over their quantity, our research offers a significant contribution to the literature on green innovation in the context of state ownership. (shrink)