The melting temperatures of alkali halides (LiCl, LiF, NaBr, NaCl, NaF, NaI, KBr, KCl, KF, KI, RbBr, RbCl, RbI and CsI) have been evaluated over a wide range of pressures. The solid–liquid transition of alkali halides is of considerable significance due to their huge industrial applications. Our formalism requires a priori knowledge of the bulk modulus and the Grüneisen parameter at ambient conditions to compute [Formula: see text] at high pressures. The computed values are in very good agreement with the available experimental results. The formalism can satisfactorily be used to compute [Formula: see text] at high pressures where the experimental data are scanty. Most of the melting curves ([Formula: see text] versus [Formula: see text]) exhibit nonlinear variation with increasing pressure having curvatures downward and exhibit a maximum in some cases like NaCl, RbBr, RbCl and RbI. The values of [Formula: see text] and [Formula: see text] corresponding to the maxima of the curves are given.