To calculate the pullout capacity of a shallow-buried inclined strip anchor plate in sloping rock ground, this paper constructed a curve uplift failure mechanism of rock mass above the anchor plate. In this mechanism, the plane strain hypothesis in elasto-plastic mechanics and the Hoek-Brown failure criterion were employed. Then, according to the upper bound method and variational principle, this paper deduced the analytical expressions for the rock failure surface equation and for the anchor plate's ultimate pullout capacity in the limit state. Further, based on an equivalent transformation method of Hoek-Brown failure criterion, this paper analyzed the influence laws of the embedment depth/width ratio, ground inclination, anchor plate inclination and generalized Hoek-Brown strength parameters on the anchor plate's ultimate pullout capacity and rock failure range. Finally, a series of numerical simulation for pullout failure processes of a strip anchor plate with six inclinations were carried out to verify the validity of the proposed theoretical method. The research work in this paper can provide some theoretical reference for design and construction of strip anchor plates in sloping rock ground.