Despite the recent emergence of research pertaining to the significance of the business model in ensuring the long-term viability of the cloud computing paradigm, research relating to understanding the interrelated dynamics of strategy, the business model and business processes is non-existent. Thus, there is a need for a framework that coalesces and extends existing research. To address this research gap, the paper reviews and consolidates cloud computing, business model, strategy and business process literature to present a holistic conceptual cloud computing unified business framework (CUBF). Firstly, the framework provides an overview of the interrelated dynamics of cloud strategy, cloud business models and cloud enabled business processes. Secondly, the framework addresses iterative and longitudinal dimensions which impact on the design and operationalisation of cloud business models. While the primary contribution of this paper is to guide future research on cloud computing business models, it may also be applied to present implementation scenarios for cloud service providers and cloud service users who are seeking to maximise the economic value of cloud computing.