The disclosure provides a new and distinct hybrid melon variety NUN 68307 MEM as well as seeds and plants and fruits thereof. NUN 68307 MEM is a Piel de Sapo melon variety comprising resistance to Fusarium oxysporum f. sp. melonis Race 0, Race 1, and Race 2, Podosphaera xanthii Race 1, Race 2, and Race 5, and Muskmelon Necrotic Spot Virus (MNSV).