Mr Gardiner said it was vital that the university maintained the integrity of the examination process in order to uphold confidence in the quality and value of its qualifications.
The university had not, to date, had any reports of cheating with a smart watch.
Massey is not the first university to put a ban on watches. The Guardian newspaper reported last week that watches were banned from City University in London while those at Southampton must place all watches in a clear plastic bag on the desk. At Goldsmiths watches have to be stored under desks.
At Queen Mary, University of London, students must take off electronic watches, while at Oxford and Cambridge, students' watches are "subject to examination by invigilators".