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Length-Weight Relationships (LWR) were estimated for Elasmobranchii caught by the artisanal fishing fleet of Margarita Island, Venezuela. A total of 3604 organisms belonging to 21 species (14 sharks and 7 batoids) were analyzed. Growth type, minimum and maximum length and weight are summarized. The estimates for the ‘b ’ parameter of the LWR ranged between 1.706 and 3.955, with a mean of 3.034. To the best of our knowledge, no information currently exists on the LWR of Heptranchias perlo, Squalus cubensis, Squatina dumeril, Gymnura micrura, Myliobatis freminvillei and Mobula hypostoma. This article stands as a pioneer towards the growth research in these elasmobranchs