Pile foundations are extensively subjected to lateral cyclic loads originating from wind, sea waves, high speed trains, traffic or machinery during their service life. Majority of the times these piles are embedded in stratified soil medium and commonly these soil layers are considered to be uniform thickness spreading across the horizontal extent. However, in hilly terrains, river basins or offshore locations, the sedimentation deposits or geological folding might lead to the formation of soil stratifications with inclined interfaces, thereby forming a semi-infinite overlying wedge. In this regard, a typical case of a 10 m long rigid pile with 1 m diameter is considered in the present study, which is bored in a two-layered cohesionless substrata having an inclined substrata interface. The behaviour of the single vertical pile is investigated under cyclic lateral loading. This complex soil-pile interaction problem is simulated by 3D finite element (FE) approach wherein the soil strata and the pile are simulated by HS-small model and linear elastic material, respectively. Due to the cyclic loading acting on the soil-pile interface, the soil medium adjacent to pile continuously reorient and rearrange during the loading period, which may lead to a progressive deterioration in strength and stiffness of the surrounding soil. Degradation in soil-pile interactive performance reduces the load carrying capacity of the pile and increase the pile head displacement. The monotonic and cyclic lateral responses of the pile, e. g. lateral load capacity, displacement and p-y curves are investigated through a detailed parametric study. The cyclic lateral responses are found to be recognisably impacted by the strength and stiffness property of the overlying soil wedge.