Constructal theory may become a powerful tool for solving problems of global security and sustainability. However there are three challenges that must be met for this to occur. First, constructal theory must become known and trusted by the various communities that work on global problems. Second, the practitioners of constructal theory must develop a compelling portfolio of successful examples that highlight value and applicability to global problems. Third, constructal theory should be augmented with additional theoretical tools that will, in total, create a forward predictive capability that can improve sub-optimal existing systems and create new systems as needed to tackle the most complex global problems. Examples are included that illustrate the classes of problems for which constructal theory may be successfully applied.