In this paper, bearing capacity of a surface strip footing on slope is computed through lower bound finite elements limit analysis technique. A non-associated flow is considered to account for the dilation of the soil. Influence of parameters such as, slope angle (β), footing setback distance (b), soil friction angle (ϕ) and dilative coefficient (η) on the bearing capacity of the footing is explored. Results obtained indicate that with the increase in slope angle the Nc and Nγ values tend to reduce considerably. It is observed that with the increment in the values of ϕ, b and η, there is a rapid proliferation in the values of Nc and Nγ. State of stress with respect to the yield of soil are brought out. Based on the data obtained a set of design charts are developed through which the bearing capacity factors Nc and Nγ for different cases can be easily obtained.