An original two-stage liquid phase hot explosive compaction(HEC)procedure of Mg-B precursors above 900o C provides the formation of superconductivity MgB2 phase in the whole volume of billets with maximal Tc=38.5 K without any further sintering.The liquid-phase HEC strongly solid-state reaction rate due to the high penetrating capability of shock-waves in a whole volume of cylindrical billets and to consolidate superconductive MgB2 composites near to theoretical density.There were established that the structure and the superconductive characteristics of fabricated MgB2 billets strongly depends on consolidation temperature and intensity of loading.The above mentioned and other features of structure/property relationship as well as experimental conditions will be presented and considered too.