Despite environmental sustainability being identified as one of the key drivers of innovation, extant literature lacks a theoretically sound and empirically testable framework that can provide specific insights into green product innovation from a capability perspective. This study develops a theoretical framework from a sustainability‐oriented dynamic capability (SODC) perspective. We conceive SODCs as consisting of three underlying processes (external resource integration, internal resource integration, and resource building and reconfiguration) that influence the change/renewal of sustainability‐oriented ordinary capabilities (SOOCs) (green innovation capability and eco‐design capability). This study answers two key questions: which SODCs are needed to develop green innovation and eco‐design capabilities? Which of these capabilities lead to better market performance of green products? We test a structural model linking SODCs to market performance in 189 Italian manufacturing firms. First, we find that the nature of the SODC–performance link (direct or indirect) depends on the SODC type. Specifically, resource building and reconfiguration is the only SODC with a direct effect on market performance. Second, all three types of SODC affect the eco‐design capability, which mediates the link between SODCs and market performance. Third, we find that external resource integration is the only SODC affecting the green innovation capability, which mediates the link between external resource integration and market performance. Resource building and reconfiguration is the SODC with the overall (direct and indirect) highest impact on market performance. This study, among the first to consider capabilities for green product innovation under a dynamic capability perspective, provides implications for scholars, managers and policy makers. Copyright © 2016 John Wiley & Sons, Ltd and ERP Environment