The disclosure provides a new and distinct hybrid melon variety NUN 68107 MEM as well as seeds and plants and fruits thereof. NUN 68107 MEM is a Piel de Sapo melon variety comprising resistance to Podosphaera xanthii Race 1, Race 2 and Race 5, Aphis gossypii, and Muskmelon Necrotic Spot Virus (MNSV).