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The work deals with the development of the equations of motion for a floating rigid structure. The interest is focused on the time-domain description first introduced by Cummins. In the technique the properties of the frequency-domain description are transformed and used in the time-domain. Consequently, the frequency-domain description is also of interest and is treated here. In Chapter 2 a short introduction to wave-loading and the dynamics of large-volume structures is given. The matrix form of the equation of motion in the frequency-domain is developed in Chapter 3. The relations between the frequency-domain and two mathematically different but physically equivalent time-domain descriptions are reviewed in Chapter 4. The objective of the study is to establish and to solve necessary equations, but not to be complete in terms of loading. Hopefully, this will provide the basis for further studies as well as an idea of difficulties associated with numerical solutions in the time-domain.