Offshore wind turbines (OWTs) are generally supported by large-diameter monopiles, with the combination of axial forces, lateral forces, bending moments and torsional moments generated by the OWT structure and various environmental factors resisted by earth pressures mobilized in the soil foundation. The loading on the monopile foundation is essentially cyclic in nature and typically low-amplitude. This state-of-the-art review paper presents details on the geometric Downloaded by [New York University] at 00:02 29 July 2015 2 design, nominal size, and structural and environmental loading for existing and planned OWT structures supported by monopile foundations. Pertinent ocean-environment loading conditions, including methods of calculation using site-specific data, are described along with wave particle kinematics, focusing on correlations between loading frequency and natural vibration frequency of the OWT structure. Existing methods for modelling soil under cyclic loading are reviewed, focusing in particular on strain accumulation models that consider pile-soil interaction under cyclic lateral loading. Inherent limitations/shortcomings of these models for the analyses and design of existing and planned OWT monopile foundations are discussed. A design example of an OWT support structure having a monopile foundation system is presented. Target areas for further research by the wind-energy sector are identified which would facilitate the development of improved analyses/design methods for offshore monopiles.