In the past few years, there have been substantial road widening work between the road sections of Narayanghat-Mugling road at Chitwan District of Nepal. The expansion work has further exposed geological structures along the steep slope, which has increased risk of landslides on the cut slope. This paper focuses on the evaluation and stability assessment of landslide-prone areas of the slope topography along the Narayanghat-Mugling Road segment. The geological composition along the road cut slopes primarily comprises quartzite, phyllite, dolomite and slate rock formations. Through comprehensive engineering geological field mapping carried out, 15 rock slope sections were identified for further stability evaluation. Rock quality assessment that was carried out revealed that the rock mass in these slope sections varied from very good quality to good and fair quality. To assess stability condition of the rock slope, stereographic projection, empirical, analytical methods and numerical modelling were employed. The paper presents the outcomes of stability evaluations, accounting for both groundwater and seismic loading conditions. This paper also recommends suitable remedial measures.