As a neurodevelopmental disorder, autism is characterized by impairments and differences at the levels of both brain and behavior. Communicative impairments in autism are a core feature of the disorder, and a rapidly expanding literature is exploring language in autism using the tools of cognitive neuroscience, particularly electroencephalography and brain imaging. Recent research indicates consistent differences in the degree to which language-specific processes are lateralized in the brain, and it also suggests that language impairments are linked to differences in brain structure that may lead to inefficient coordination of activity between different neural assemblies to achieve a complex cognitive task, defined as functional connectivity. We review findings from current work and suggest that neurobiological data are critical in our ability to understand the mechanisms underlying behavioral differences in communicative skills. Going beyond simple dichotomies between delayed versus deviant development, we can use such data to ask whether behavior reflects processes that are merely inefficient or, instead, whether impairments at the behavioral level reflect fundamental differences in brain organization and the networks involved in various tasks.