In this thesis, a time domain hybrid method is developed to study the seakeeping behavior of ships and floating structures in waves (at zero and nonzero forward speed). The thesis deals with three different basic solution approaches to the set problem, namely, a time domain transient Green function solver and alternatively a time domain hybrid solver for zero speed problems, v Acknowledgement Six years ago in 2004, when the NTUA-Harbin Engineering University ASIA LINK project "Knowledge transfer on ship design, production and operation" was initialized, I made up my mind to come to NTUA-Athens for pursuing scientific progress and finally made the trip late of 2005. Five years later, at this moment, while I am ready for the examination by my PhD committee, I look back on these years" experience and notice that there are many people I am grateful to during this route. My special thanks go to Professor A. Papanikolaou who has been a great supervisor, not only on my study but also on my life. From the night I arrived to Athens until now, he has been continuously guiding and supporting me, either scientifically or financially, to progress in the right direction.