In this paper, hydroelastic responses of floating plates subjected to a moving load are studied using a numerical approach. In this approach, the floating structure is discretized into a number of finite elements based on the classical plate theory, whereas the linear water wave theory is employed to define the fluid that is divided into a number of constant boundary elements. Responses of floating plates under moving loads imposed by two types of boundary conditions are investigated. The results obtained reveal that, at the speed below the critical value, the boundary conditions at the upstream and downstream of the floating structure significantly affect the dynamic amplification factor and the contact force’s curve of orbit. However, the value of critical speed is independent of the boundary conditions. On the other hand, at the critical speed, unlike floating plates in an unbounded water domain, the maximum displacement of investigated structures does not occur at the center of
the depression.