The decision to call off the event, which had been due to take place at the University of Nottingham on April 11 and 12, was announced by IBSA and British Judo.
"British Judo have been in regular contact with the British Olympic Association, UK Sport and Public Health England over the past couple of weeks regarding the recent outbreak of COVID-19 across the world," Andrew Scoular, chief executive of the British Judo Association, said.
Another IBSA Judo Grand Prix in Azerbaijan's capital Baku is scheduled for May 11 and 12.
IBSA says it is currently reviewing the viability of the event and will keep stakeholders informed.
Iran was supposed to send three athletes to the competition.
Vahid Nouri (-90kg), Mohammad Reza Kheirollahzadeh (+100kg) and Alireza Khojasteh (73kg) were Iranian judo athletes for the event.