 Moray was elected Fellow of the Human Factors and Ergonomics Society in 1991; Fellow of the Ergonomics Society in 1998; Fellow of the Institute of Ergonomics and Human Factors; and Fellow of the International Ergonomics Association.The International Ergonomics Association awarded him the Ergonomics Development Award and the President's Award in 2000.In 2000, Stirling University inaugurated the annual prize for best Combined Honours Student, to be named the "Neville Moray Prize."