No fruit or vegetables can be removed from Zone B.
"You can take it from your property to other properties, but not from the zone," Mr Coleman said.
"Anything can come into the zone, but cannot leave," he said.
He said the ministry was aware of tackling the huge crowds at Avondale's Sunday market, the largest seller of fresh produce in the area.
Hundreds of sellers came into the Avondale area and thousands of people would go to the market to buy produce.
Ministry staff would be handing out pamphlets telling people about restrictions on buying and selling produce.
Mr Coleman said the ministry was also working with supermarkets and other produce retailers in the area.