Embodiments of immunogens comprising a recombinant Mumps (MuV) F ectodomain trimer stabilized in a prefusion conformation or a recombinant Measles (MeV) F ectodomain trimer stabilized in a prefusion conformation are provided. Also provided are embodiments of immunogens comprising chimeric proteins comprising the recombinant MuV or MeV F ectodomain trimer and one or more MuV HN or MeV H ectodomains. Also disclosed are nucleic acids encoding the immunogens and methods of their production. Methods for inducing an immune response in a subject by administering a disclosed immunogen to the subject are also provided. In some embodiments, the immune response treats or inhibits MuV and/or MeV infection in a subject.