The wind farm installation vessel is a floating structure with multiple legs. The legs underwater have a prominent effect on the responses of the vessel on waves. The main factor is that the existing of the legs under water leads to the hydrodynamic characteristics different from the normal vessel without legs. To analyse the influence of the legs underwater on the hydrodynamic responses, five cases are classified according to the length of the legs under water. Then, the hydrodynamic responses of the structure in different cases are numerically simulated by applying the three-dimensional potential theory. The hydrodynamic coefficients, wave excitation loads and RAOs of the six degrees of freedom in different wave frequencies are calculated and compared. The results show that the effects of the legs underwater on the hydrodynamic response of a floating structure with multiple legs are visible except for heave motion of the floating body.