MC realization of IR-improved DGLAP-CS parton shower: Herwiri1.031. We introduce the new IR-improved Dokshitzer-Gribov-Lipatov-Altarelli-Parisi-Callan-Symanzik (DGLAP-CS) kernels recently developed by one of us into the HERWIG6.5 to generate a new MC, HERWIRI1.$0(31)$, for hadron-hadron scattering at high energies. We use MC data to compare the parton shower generated by the standard DGLAP-CS kernels and that generated by the new IR-improved DGLAP-CS kernels. The seamless interface to MC@ NLO, MC@ NLO/HERWIRI, is illustrated. We show comparisons with FNAL data and discuss some possible LHC phenomenology implications.