We evaluate the LHC discovery potential for the fourth family Standard Model neutrinos in the process $ppto Z/hto u_{4}{bar{ u}_{4}}to Wmu Wmu$. We show that, depending on their masses, the simultaneous discovery of both the Higgs boson and the heavy neutrinos is probable at early stages of LHC operation. Results are presented for both Majorana and Dirac type fourth family neutrinos.