The annual agricultural show has been held every July since 1838, and at its current site the Showground in Harrogate since 1951.
It did not take place during the world wars and was also cancelled in 2001 due to the foot and mouth outbreak. In 2012, it was called off after one day after heavy rain made the ground unsafe.
A statement from Yorkshire Agricultural Society chief executive Nigel Pulling read: "As this national crisis escalates day by day, we feel we cannot safely run the Show in 2020. We are extremely sorry to have to announce this news and appreciate that this will disappoint everyone who loves the Show as much as we do.
Join our new coronavirus Facebook group for the latest confirmed news and advice as soon as we get it www.facebook.com/groups/yorkshirecoronavirus"We will continue to passionately support our farmers in whatever way we can, as they work hard producing our food.
"We would like to thank everyone for supporting the Great Yorkshire Show and our goal is to return bigger and better next year.
"We hope you and your families stay safe and well through these difficult times."