Using Physical Layer Network Coding in Two-way Relay Channels, different carrier frequency in Multiple Access phase will cause serious performance loss of wireless communication systems. Joint Physical-layer Network Coding and Channel Coding can improve system performance and reduce facility complexity to a large extant. However, a great majority of these designs only consider synchronization at present. This paper proposes joint design of PNC and LDPC with complete frequency offset of single-node and average frequency offset of two-node in condition of carrier frequency offsets. We design two corresponding frequency offset filters and reanalyze their useful signal part and noise distribution. Simulation results indicate that two proposed joint PNC and LDPC with carrier frequency offsets have a great performance compared with traditional Physical-layer Network Coding.