The present disclosure provides isolated monoclonal antibodies, particularly human monoclonal antibodies, that specifically bind to CD70 with high affinity. Nucleic acid molecules encoding the antibodies of the disclosure, expression vectors, host cells and methods for expressing the antibodies of the disclosure are also provided. Immunoconjugates, bispecific molecules and pharmaceutical compositions comprising the antibodies of the disclosure are also provided. The disclosure also provides methods for treating cancer, autoimmune disease, inflammation and viral infections.