This paper explores the need for a new process framework that can effectively support DevOps and Continuous Delivery teams. It then defines a new framework, which adheres to the lean Kanban philosophy but augments Kanban by providing a structured iteration process. This new Structured Kanban Iteration (SKI) framework defines capability-based iterations (as opposed to Kanban-like no iterations or Scrum-like time-based sprints) as well as roles, meetings and artifacts. This structure enables a team to adopt a well-defined process that can be consistently used across groups and organizations. While many of SKI's concepts are similar to those in found in Scrum, SKI's capability-based iterations can support the demands of product development as well as operational support efforts, and hence, is well suited for DevOps and Continuous Delivery. SKI also supports lean hypothesis testing as well as more traditional software development teams where capability-based iterations are deemed more appropriate than time-based sprints.