The diminishing extent of sea ice in Arctic areas brings opportunities for increased shipping activities in the Canadian Arctic. However, it also causes concerns, e.g., related to environmental pollution to vulnerable areas and impacts on ecosystems at local, regional, and global scales, which can further impact human health. Increased shipping activity also causes concerns about safety risks associated with the navigation of vessels, for instance, related to the response to vessels or people in distress. Appropriate risk management strategies, tools, and equipment are essential to successfully mitigate these risks, with due consideration of concerns of rights-holders, stakeholders, and society at large. In this chapter, an exploratory application of key elements of the International Risk Governance Council (IRGC) risk governance framework is presented, focusing on selected risks associated with shipping in the Canadian Arctic. After introducing the IRGC framework, selected shipping risks in the Canadian Arctic are classified in terms of the type of risk problem these represent. Subsequently, a discussion is given on the implications of this pre-screening for selecting appropriate risk governance strategies. The chapter concludes with a discussion on suggestions for future work on risk governance in a Canadian Arctic maritime shipping risk context.