This chapter describes contemporary approaches to the assessment of cognitive and intellectual functioning. The origins of intelligence testing at the beginning of the twentieth century are briefly recounted. Six major intelligence tests are described in terms of their origins, theoretical underpinnings, standardization features and psychometric adequacy, and interpretive indices and applications. These tests include the Cognitive Assessment System, Differential Ability Scales, Kaufman Assessment Battery for Children, Stanford‐Binet Intelligence Scale, Wechsler Intelligence Scales, and the Woodcock‐Johnson Tests of Cognitive Abilities. It is argued that in order for the study and practice of intellectual assessment to achieve status as a mature clinical science, the field must meet four essential requirements: (1) a coherent foundational theory, from which testable principles and propositions may be derived, (2) a variety of measures, operationalizing the theories and serving the needs of special populations, (3) an applied diagnostic taxonomy, derived from and consistent with the theory and its measures, and (4) a compendium of change‐oriented intervention techniques, aimed at modifying specific behaviors in a manner consistent with the theories. In spite of an abundance of theories and measures, the study of intelligence and its assessment has yet to realize its potential in terms of diagnosis and intervention.