An excess Gibbs-equation of state (G(E)-EoS) framework based on the Huron-Vidal mixing rule, has been applied to study vapor-liquid equilibria (VLE) of hydrogen-hydrocarbon mixtures. The mixing rule couples the Peng-Robinson-Stryjek-Vera (PRSV) EoS with a local composition solution model. The solution model is based on one-fluid theory treatment and assigns a single energy parameter to each binary pair. This energy parameter relates to the preference of the molecules for like to unlike interactions. The allocation of a system's number of interactions to the individual species in a binary mixture, incorporates the use of size parameters which gain significance only in the liquid phase. In a two parameter form, the framework has been used for the simultaneous data reduction of a large number of binary and several ternary hydrogen-hydrocarbon mixtures. These systems were taken over an extended range of pressures and temperatures. Results from the data reduction are reported in both tabular and graphical forms. Correlations for the model parameters have been identified with the acentric factor of the hydrocarbon in hydrogen-hydrocarbon binary mixtures. In a fully predictive mode, the model has shown to describe well VLE of binary hydrogen-linear alkane systems. Comparisons of these results with calculations from the Peng-Robinson (PR) EoS and the classical mixing rule (vdW) are included.