The invention provides seed and plants of the squash line designated ZGN 130-1028. The invention thus relates to the plants, seeds and tissue cultures of squash line ZGN 130-1028, and to methods for producing a squash plant produced by crossing a plant of squash line ZGN 130-1028 with itself or with another squash plant, such as a plant of another line. The invention further relates to seeds and plants produced by such crossing. The invention further relates to parts of a plant of squash line ZGN 130-1028, including the fruit and gametes of such plants.