The SU_C(3) otimes SU_L(2) otimes SU_R(2) otimes U(1) left-right (LR) symmetric model explains the origin of the parity violation in weak interactions and predicts the existence of additional W_R and Z' gauge bosons. In addition, heavy right-handed Majorana neutrino states N arise naturally within LR symmetric model. The N s could be partners of light neutrino states, related to their non-zero masses through the see-saw mechanism. This makes the searches of W_R, Z' and N interesting and important. This note describes the study of the potential of the CMS experiment to observe signals from the N and W_R production at the LHC. It is shown that their decay signals can be identified with a small background. For the integral LHC luminosity of L_t = 30 fb^ -1, the 5 sigma discovery of W_R - boson and heavy Majorana neutrinos N_e with masses up to 3.5 TeV and 2.3 TeV, respectively is found possible
