Primary single-end line protection strategies of MMC HVDC systems are difficult to make a tradeoff between fast detection speed and high reliability. To improve reliability, the pilot protection schemes based on communication and data exchange can be adopted. However, the communication-based schemes suffer from potential communication failure problems, such as data error, data loss and time synchronization error. To avoid blocking of protection devices during communication failures, a resilience-oriented differential pilot protection method is proposed in this paper. To address the problem of synchronization error, a startup element based on the multiresolution morphological gradient (MMG) of traveling wave is proposed. For the problems of data error and data loss in communication, the sampled data are preprocessed by the morphological filtering (MF). And the correlation of traveling waves is used to identify the internal and external faults; the ratio of the morphological gradient of pole voltages is adopted to discriminate the faulty poles. A four-terminal MMC based DC grid model is built in PSCAD/EMTDC interfaced with the optical fiberbased communication system built in MATLAB/Simulink. The simulation results show that the protection scheme can effectively identify the faults against serious communication problems of 1% bit error rate and 5% data loss.