impact analyses performed so far for the composite plates, have treated central impacts. Furthermore, investigations on influences of the in-plane biaxial compression, tension, or tension-compression preloads on various responses of the low-VELOCITY impact, especially the indentation, have not been performed so far. In the present research, a finite element formulation is presented for response prediction of a low-VELOCITY eccentric impact between a rigid spherical indenter and a laminated composite rectangular plate with asymmetric lamination scheme. Different contact laws are considered for the loading and unloading PHASEs. A parametric study is performed to investigate influence of the specifications of the plates and the indenter, the eccentric value, and the in-plane preloads on the indentation and force time histories. Results show that the compressive and tensile in-plane preloads reduce and increase the contact force (and consequently, the indentation values), respectively. Therefore, the extensive tensile preloads may lead to higher damages.