ABSTRACTM/EEG research using naturally spoken stories as stimuli has focused largely on speech and not language processing. The temporal resolution of M/EEG is a two-edged sword, allowing for the study of the fine acoustic structure of speech, yet easily overwhelmed by the temporal noise of variation in constituent length. Recent theories on the neural encoding of linguistic structure require the temporal resolution of M/EEG, yet suffer from confounds when studied on traditional, heavily controlled stimuli. Recent methodological advances allow for synthesising naturalistic designs and traditional, controlled designs into effective M/EEG research on naturalistic language. In this review, we highlight common threads throughout the at-times distinct research traditions of speech and language processing. We conclude by examining the tradeoffs and successes of three M/EEG studies on fully naturalistic language paradigms and the future directions they suggest.