The present disclosure provides isolated monoclonal antibodies, particularly human monoclonal antibodies, that specifically bind to SDF-1 with high affinity. Nucleic acid molecules encoding SDF-1 antibodies, expression vectors, host cells and methods for expressing the SDF-1 antibodies are also provided. Immunoconjugates, bispecific molecules and pharmaceutical compositions comprising the SDF-1 antibodies are also provided. Methods for detecting SDF-1, as well as methods for treating various B cell malignancies, including breast cancer, multiple myeloma and non-Hodgkin's lymphoma, and autoimmune disorders are disclosed.