One of the major issues in performing 3D weaving with silicon nitride (Si3N4) fiber lies in unavoidably being subjected to wear damage. In this study, we innovatively constructed the PTFE/POM nanofiber membrane for the protection of Si3N4 fibers by using a two-step method. Firstly, the POM nanofiber membrane was wrapped on Si3N4 fiber by electrostatic spinning technology, and then the PTFE coating was applied to it to form Si3N4@PTFE/POM (F Si3N4@POM) yarn. The tribological properties of F Si3N4@PTFE/POM yarns were evaluated at different formation speeds. The results showed that the PTFE could gradually penetrate into the POM nanofiber membrane and form a friction-reducing layer under the normal pressure of 0.1-0.5 N. Meanwhile, the network structure of the POM nanofiber membrane can provide the layer with high wear resistance. During the weaving process, the layer reduces the breaking strength loss from 7.98% to 1.65% compared with Si3N4 fiber. The study developed a composite nanofiber membrane that can self-form a friction-reducing layer to avoid wear of the ceramic fibers during the weaving process.