This paper describes a new method for prediction of the Chapman-Jouguet detonation pressures of CHNOFCl explosives using the heat of detonation, Q(det), the number of moles of gaseous products of detonation per grant of explosive, alpha, and the average molecular weight of gaseous products, M. The equation has the form: P-CJ = 15.88alpha(MQ(det))(1/2)rho(0)(2) - 11.17, where P-CJ is the Chapman-Jouguet detonation pressure and rho(0) the loading density. Calculated P-CJ by this procedure show good result with respect to measured detonation pressure for any pure or mixture of ideal and some of less ideal CHNOFCl explosives at rho(0) > 0.8 g/cm(3). (C) 2003 Elsevier B.V. All rights reserved.