The invention provides seed and plants of the lettuce line SVLD0033. The invention thus relates to the plants, seeds, and tissue cultures of lettuce line SVLD0033, and to methods for producing a lettuce plant produced by crossing a plant of lettuce line SVLD0033 with itself or with another lettuce plant, such as a plant of another genotype. The invention further relates to seeds and plants produced by such crossing. The invention further relates to parts of a plant of lettuce line SVLD0033, including the gametes of such plants.