High temperature proton exchange membrane fuel cells (HT-PEMFCs) are one of the promising alternatives of power production in which chemical energy is converted to electrical energy. Various analytical, numerical and system-level models have been developed over the past two decades. These models were beneficial in the investigation of various areas such as fundamental analysis of transport phenomena, process and geometrical optimization, system level integration of HT-PEMFCs etc. Thus, the objective of this review is to summarize the present status of the HT-PEMFC modelling efforts which can aid future researchers in this field of research. Furthermore, areas where more research efforts could be channelled towards are also highlighted. (C) 2016 Hydrogen Energy Publications LLC. Published by Elsevier Ltd. All rights reserved.