Continuous health monitoring for an infant is crucial for detecting and preventing several diseases. Recent advancement in wearable technology has given rise to the development of wearable infant health monitoring systems (WIHMSs). These systems provide an edge over conventional infant health monitoring systems which are not only bulky and uncomfortable for the infants but are also limited to the clinical settings. This study reviews some state-of-the-art WIHMS, mentions the advantages, limitations and the challenges faced by such systems. This study, for the first time, contributes an appraisal of research prototypes and commercially available systems for WIHMS, which is the need of the day.