Stability analysis of a slope in the Chamoli District in Uttarakhand state of India was performed because this slope had been facing severe landslides due to major or minor seismic activities in that area as per the records of Geological Survey of India. As per the earthquake zonation map of India, the slope lies in Zone V, corresponding to high seismicity. The study slope is 36.5 m high with the average slope (with horizontal) as 610 in lower reaches, 420 in middle reach and 500 in upper reaches. The analysis were performed under pseudo static conditions using the software PHASE2, Rocscience, 2011. Mohr-Coulomb shear strength criteria is adopted for soil material and self-drilling anchors (SDA) are modelled as bolts with parameters like modulus of elasticity, diameter of anchors and peak pull out resistance of the anchors. The slope was found to be unstable under pseudo static conditions with computed factor of safety of 0.93. But by using SDA, the factor of safety increased to 1.12 in seismic conditions.