Lateral spreading induced by earthquake liquefaction in soil layers is classified as a main cause of damage of pipeline structures. In this study, non-linear finite element method was applied for three-dimensional shell element analysis of continuous oil pipeline structures against transverse permanent ground deformation due to lateral spreading. The soil-structure interactions were simulated by soil-spring elements and the elastro-plastic of soil property was taken into accounted. Influential factors, such as width of lateral spreading, characteristics of pipe, on behavior of pipeline structures are examined by numerical analysis using finite element software ANSYS. According to the parameters analysis, some recommendations for safety design for oil pipeline across potential earthquake liquefaction areas are proposed.