The invention provides seed and plants of the lettuce line designated SV4868LG. The invention thus relates to the plants, seeds and tissue cultures of lettuce line SV4868LG, and to methods for producing a lettuce plant produced by crossing a plant of lettuce line SV4868LG with itself or with another lettuce 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 lettuce line SV4868LG, including the gametes of such plants.