Antibodies that specifically bind influenza virus hemagglutinin A (HA), and antigen binding fragments thereof are disclosed herein. In several embodiments, these antibodies are broadly neutralizing. Nucleic acids encoding these monoclonal antibodies, vectors including these nucleic acids, and host cells transformed with these vectors are also disclosed. Compositions are disclosed that include these antibodies, antigen binding fragments, nucleic acids, vectors and host cells. Method of using these antibodies, and antigen binding fragments, nucleic acids, vectors and host cells, such as for diagnosis and treatment of an influenza virus infection are also provided