Agile HR is a topic of growing interest among HR professionals, reflecting pressures for greater organisational agility in response to environmental uncertainty. However, agile HR has received virtually no attention in the academic HR literature, typifying a divergence between the interests of HR practitioners and strategic HRM research, something which has been a recurring concern in recent reviews of SHRM literature. In this paper we offer a definition of agile HR as a HR operational strategy and assess how the relationship between organisational strategy, HR strategy and HR operational strategy has evolved over four waves since the 1950s. Our analysis highlights the neglect of HR operating models in SHRM research, and we propose a research agenda incorporating agile as a HR operational strategy in models of SHRM. We propose that this has the potential to mitigate some of the limitations highlighted in recent reviews of this literature.