The RRC(Radio Resource Control) protocol belongs to the 3GPP protocol stack and handles the control plane signalling of Layer 3 between the UE(User Equipment) and the eNB(Evolved Node B). The RRC Connection Re-establishment is one of the RRC main functions and re-establishes which involves the resumption of SRB1 (Signalling Radio Bearer) operation, the re-activation of security and the configuration. In this paper, we proposes the RRC Connection Re-establishment procedure on the UE side when the RLF(radio link failure) is detected or handover failure occurs, etc.