Explosives containing metals and the other solid particulates have wide applications in air-blast and underwater explosives. Due to the non-ideal behavior of these explosives, available complex computer codes and empirical methods cannot usually provide a reliable estimation of their detonation velocity. Large experimental data of detonation velocity (392 experimental data) corresponding various types of ideal and non-ideal explosives were collected from different sources to derive a general correlation. The new model assumes partial secondary reactions of metal and active particulates with gaseous products. Optimum values of different products are obtained by maximizing the coefficient of determination (R 2) of the correlation and minimizing the mean absolute percentage error (MAPE) of the calculated results from experimental values of detonation velocities. The MAPE values of the new model and one of the best available methods are 3.55 and 11.16 respectively, for 90 non-ideal explosives, which confirm much high reliability of the new method.