A lattice Boltzmann method (LBM) is introduced for accurate simulation of crystallization process modelled using one-dimensional population balance equations (PBEs) with growth and nucleation phenomena. LBM of PBEs with size independent growth is developed by identifying their similarity with the advection equation. To obtain an efficient method for PBEs with size dependent growth, a coordinate transformation scheme is introduced, which can handle processes with size independent and size dependent growth rates in the same framework. The performance of the proposed scheme is verified using benchmark examples drawn from literature, which shows that LBM provides at least the same level of accuracy, while requiring lower computation time than the well-established high resolution finite volume method. (C) 2010 Elsevier Ltd. All rights reserved.