In this technical note, a compound path integral solution (CPIS) method is utilized to calculate the response exceedance probabilities of a nonlinear compliant offshore structure subjected to slow drift wave force excitations. The structure's slow drift response exceedance probabilities have also been calculated by using the original PIS method for comparison purpose. It is found that the efficiency of the CPIS method for predicting the structure's slow drift response exceedance probabilities is higher than that of the original PIS method.