A new third-generation spectral wave model is presented for prediction of the wave climates in offshore and coastal areas. The essential topic of the present paper is new numerical techniques for solution of the governing equations. The discretisation in the geographical space and the spectral space is based on cell-centred finite volume technique. In the geographical space, an unstructured mesh is applied. Due to the high degree of flexibility, unstructured meshes are very efficient to deal with problems of different characteristic scales. The time integration is performed using a fractional step approach, where an efficient multisequence explicit method is applied for the propagation process. The model is verified by comparison with observations for two real field cases.