In the present paper an approach for the synthesis of multiperiod heat exchanger networks (HEN) using particle swarm optimization (PSO) is proposed, wherein all variables are optimized simultaneously. The model uses a stage-wise superstructure in which stream splitting is considered. The HEN is synthesized for each period individually and a timesharing scheme procedure is used to integrate all the structures of different periods automatically in a unique step. The HEN is able to operate in all the considered conditions and heat transfer devices can be used for different streams in different periods. Two case studies from the literature were used to test the developed model and results for the total annual costs were better than those found in the literature.