This study investigates the effect of load eccentricity on the deep beams in terms of failure load and failure mode by using ANSYS nonlinear finite element program. Three RC deep beams with shear span to depth ratios, varying from 0.91 to 1.67 are modeled. The comparison between experimental and numerical result under central load shows approximately fully match between them to ensure that the model was represented correctly. The model has been used to investigate the behavior of RC deep beams under eccentric loads with various heights of beams. Under eccentric load there was significant reduction in failure load. With increasing height of the beams the failure load increased gradually with incremental increases in height, also there is a clear reduction in failure load due to eccentricity. But when the eccentricity of the load on the beams reaches 50 mm all beams of different heights possess the same failure load and all of them are failed due to concrete crushing at the beam compression face.