We study the energy-momentum and baryonic number conservation laws for
quark-gluon plasma discontinuity transitions into hadron matter state
s. We find that the time-like shock hadronization of a supercooled qua
rk-gluon plasma (when the normal vector to the discontinuity hypersurf
ace is time-like) should take place. We consider some properties of th
is process, which is different from the standard space-like shock hadr
onization.