The Berth Allocation Problem (BAP) in a maritime terminal of containers is defined as the feasible berth allocation of incoming vessels. In this work a model of fuzzy optimization for the BAP continuous and dynamical is developed. It is assumed that the time of arrival of the vessels is imprecise, in the sense that the vessels arrive early or late until a permissible tolerance. To represent the imprecision in the arrival of the vessels fuzzy set are used. For the solution of the model the á- cut method is applied. The proposed model has been coded in CPLEX and it has been evaluated for diferent instances. The obtained results show that the proposed model is useful to the managers of a maritime terminal of containers since they have at hand some berth plans with different degrees of earliness and delay allowed, optimized with regard to the waiting time and with the feature that, while greater the possibility of earliness or delay of a vessel is, a berth time is assigned to it supporting that possibility.