In the domain of language and audition, studies have shown large individual differences, within the normal range (i.e. in healthy, non-expert individuals), in performance on tasks involving speech sound processing, vocabulary knowledge, and reading, these in both monolingual and bilingual participants and in native and non-native language contexts. These individual differences have often been related to individual differences in brain structure. Evidence for structural differences is especially striking since brain structure can be assumed to be more stable, or less malleable, than brain function. Brain function, on the other hand, can be expected to change, or be plastic, after only very short periods of training/learning. The present paper provides a review of studies that have investigated the brain structural correlates of normative individual differences in aspects of language-related performance, these spanning a hierarchy in terms of the underlying complexity of processing and brain networks involved. Specifically, the review is structured so as to describe work examining the following domains, which involve progressively increasing levels of complexity in terms of the posited perceptual/cognitive sub-functions involved: 1) lower-level acoustic processing; 2) phonetic processing, including non-native speech sound learning, learning to use pitch information linguistically, non-native speech sound articulation, and phonetic expertise; 3) working memory for verbal and for pitch information; 4) semantics, in the context of lexical knowledge and of semantic memory; 5)reading; 6) syntax, both natural and artificial; 7) bilingualism; and finally 8) executive control of language in the contexts of fluency and of speech-in-noise processing. Results are discussed and synthesized in the context of lower to higher-level brain regions thought to be functionally involved in these respective domains, which are very often, if not always, the very ones that structurally partly predict domain-specific performance.