In today's world of digital transformation and global hyper-competition the need for organizations to manage and innovate their Business Processes in both incremental and disruptive ways is greater than ever, both for private and public organizations. The nascent concept of Business Process Ambidexterity (balancing process exploitation and exploration) has been receiving a growing interest in the academia, and my research aims to address three research gaps: (1) the conceptualization of Business Process Ambidexterity and guidance on its implementation; (2) its impact on business-IT alignment, and (3) the specific contingency factors of Business Process Ambidexterity in the public sector. I will address these gaps through a research plan, covering a large-scale survey, extreme case research, Delphi study and design science research. At this stage I have completed a Systematic Literature Review of Business Process Ambidexterity, and I am preparing the next steps of my research.