How people typically respond to life's problems is of critical importance, particularly how they appraise their problem-solving skills and whether they generally approach or avoid the many problems of life. A critical strength or resource for coping with life's demands is a person's appraisal of his or her problem-solving skills and style. This chapter focuses on how problem-solving appraisal has been empirically demonstrated to be an important asset in living and an important component of positive psychology. Specifically, it begins with a brief history of applied problem-solving appraisal, followed by how it is measured. The Problem Solving Inventory (PSI) has been one of the most widely used self-report inventories in applied problem solving; the PSI has a strong empirical base, and it is strongly linked to a wide range of indices of psychological adjustment, physical health, a wide array of coping activities, and vocational adjustment. The chapter also provides a brief overview of problem-solving training interventions, and finally future research directions and conclusions. Because problem-solving appraisal is learned, this implies that it is amenable to change; this provides hope for millions of people to bring positive change to their lives through the integration of problem solving and positive psychology.