The present invention provides antibodies, or antigen binding fragments thereof, that bind to human TIGIT (T cell immunoreceptor with Ig and ITIM domains), as well as uses of these antibodies or fragments in therapeutic applications, such as in the treatment of cancer or chronic viral infection. Such method of treatment include combination therapy with inhibitors of other immunomodulatory receptor interactions, such as the PD-1/PD-L1 interaction. The invention further provides polynucleotides encoding the heavy and/or light chain variable region of the antibodies, expression vectors comprising the polynucleotides encoding the heavy and/or light chain variable region of the antibodies, cells comprising the vectors, and methods of making the antibodies or fragments by expressing them from the cells.