Methods for solving the various population balance formulations are presented and explained. The methods are presented progressively based on the kinetic and transport processes involved. In terms of methodology, the solution methods for the kinetic part of the population balance equation (PBE) are classified into several families: analytical/similarity, moment, discretisation and Monte Carlo methods. Methods for solving coupled computational fluid dynamics (CFD) – PBE problems are also presented. For each method, the advantages and disadvantages that determine its suitability for certain classes of problems are discussed.