Reinforced concrete flat plate structures have been used in the construction industry since the start of the 20th century due to their architectural flexibility and economy. Through the years the structures were mainly designed to carry gravity loads due to their high flexibility in their connection regions. Unfortunately, these structures may sometimes be subjected to lateral and gravity loads due to unexpected natural phenomenon such as earthquakes. The information on behavior of these structures under such loading condition is limited. This paper presents parametric study on isolated flat plate connections under combined gravity and lateral loads using a non-linear finite element analysis. The numerical model for the connections was developed using ABAQUS in which plasticity model for concrete and an elastic-plastic model for steel reinforcement was employed. The model was validated with an experimental test, conducted by other researchers, of similar loading condition. The results of parametric study on the effect of column geometry and service openings adjacent to the column are presented. Among the parameters, the effect of column geometry was found to have significant effects on the connection behavior.