In 2022, healthy sleep was included as part of Life's Essential 8, which are a cluster of fundamental factors for cardiovascular health. In many studies, sleep duration and/or quality have also been found to be related to human health. The purpose of this narrative review was to present the relationship between the Mediterranean diet, the DASH (Dietary Approaches to Stop Hypertension) diet, and the MIND (Mediterranean-DASH Intervention for Neurodegenerative Delay) diet and sleep quality and duration in different populations. A literature search was conducted based on the phrases "Mediterranean diet", "DASH diet", and "MIND diet" appearing together with "sleep" or "insomnia" in papers' titles or abstracts. Studies on obstructive sleep apnea or shift work were excluded. The electronic databases were searched via EBSCOhost. Main results: The vast majority of studies showed that there was a beneficial association between the three diets discussed in this review and sleep duration and/or quality; however, most of these results were obtained in cross-sectional analyses. There were only a few studies in which an association between sleep parameters and these diets was not observed. Direction for future studies: Taking into account the significant role of adequate sleep quality in various diseases, even in all-cause mortality, the implementation of randomized controlled trials and prospective cohort studies seems to be necessary to provide further evidence that would allow these associations to be confirmed. In conclusion, the results obtained so far in various populations strongly suggest that healthy dietary patterns abundant in plant foods, are associated with better sleep quality, as well as with a more adequate length of sleep.