This paper presents the theoretical specification of the MONASH-MRF model. MONASH-MRF is a multiregional multisectoral model of the Australian economy. Included is a complete documentation of the model's equations, variables and coefficients. The documentation is designed to allow the reader to cross-reference the equation system presented in this paper in ordinary algebra, with the computer implementation of the model in the TABLO language presented in CoPS/ImPAcT Preliminary' Working Paper No. OP-82.