The disclosure provides a new and distinct hybrid melon variety NUN 76307 MEM as well as seeds and plants and fruits thereof. NUN 76307 MEM is a Cantaloupe non-sutured melon variety with extended shelf life, rounded oblate shape, pale yellow green rind color, and moderate orange flesh comprising resistance to Podosphaera xanthii Race 1, Race 2, and Race 5, Fusarium oxysporum melonis Race 1, Muskmelon Necrotic Spot Virus (MNSV), and Aphis gossypii.