Absolute pitch (AP) is the ability to identify and/or produce specific music notes without a reference tone from the Western tonal system. Functional imaging studies show that AP is subserved by a network of interconnected neural structures including the left posterior dorsolateral frontal cortex (DLFC), the bilateral planum temporale (PT), and other brain regions. Neurophysiological studies show that AP possessors do not always require context updating during pitch identification due to possible "tonal templates", and that AP appears to emerge at a late processing stage that is associated with multiple cognitive strategies and is facilitated by music training at early ages. Morphometry studies show decreased cortical thickness and gray matter concentration among those with AP, which may reflect increased efficiency of AP skill. Graph theoretical analyses of cortical thickness covariations show involvement of higher-order auditory processing, working memory, and semantic memory processes. Diffusion tensor imaging studies provide evidence for a neural pathway between the left posterior DLFC and the left PT, which establishes retrieval and manipulation of verbal-tonal associations. Compared to AP musicians, quasi-AP (QAP) musicians have an extensive right hemisphere network implicated in auditory working memory and show the bilateral structural characteristics of PT morphometry. Future research should confirm the definition of PT boundary and the role of (bi)lateralization of PT in AP ability, develop a standard AP test, identify genetic bases of AP, and describe relations between AP, tonal languages, and associated neural functions and structures among non-musicians with AP ability.