In 2013 Blair was elected Fellow of the American Physical Society; 2007 Western Australian (WA) Premier's Science Award for Scientist of the Year; 2005 World Year of Physics, Blair was awarded the ANZAAS Medal as well as a WA Government Centre of Excellence Grant to develop the Australian International Gravitational Research Centre; 2004 Learning Links Certificate, Minister for Education and Training; 2003 National Medal for Community Service; 2003 Centenary Medal (for Promotion of Science); 2003 Clunies Ross Medal for Science and Technology and in 1995 Blair won the Walter Boas Medal of the Australian Institute of Physics. In 2018 Blair was elected Fellow of the Australian Academy of Science.