The uplift bearing mechanism of the strip plate anchor near a slope is significantly different from that buried in horizontal ground due to the asymmetry of the soil around anchor. In this paper, the nonlinear failure criterion and the associated flow rule are used to construct the curved failure mechanism and kinematically admissible velocity field of the anchor buried near a slope. The upper bound solution of the uplift capacity is derived based on the upper bound theorem of the limit analysis. Then, with the DIC technology, a series of uplift load tests were conducted in laboratory for scaled strip plate anchor models, which were buried in the horizontal ground or at different distances from a sand slope with various slope angles, and the uplift bearing capacity and the failure mode of the anchors with different slope angles and different edge-distance ratios were obtained. The comparison results show that the error of the uplift bearing capacity from the laboratory tests and theoretical solutions is within 13%, and the failure mode is basically consistent, which verifies the rationality of the theoretical solution. Finally, the main factors affecting the critical edge-distance ratio of the anchor are discussed. The results show that the critical edge-distance ratio of the anchor is related to the depth of the anchor and the soil parameters. As the embedding depth and the initial cohesion increase, the critical edge-distance ratio of the anchor increases, but as the uniaxial tensile strength increases, the critical edge-distance ratio decreases.