MPI said there was a new requirement for some vehicles and machinery from the United States to be treated prior to shipment.
"We are also trialling the use of detector dog [sic] for finding stink bugs should any make it past MPI's border defences," the newsletter said.
Consignments of household goods sent from the USA could now be "devanned" or unsealed only at transitional, MPI-approved facilities.
The ministry said the bug was "a highly destructive pest" that consumed more than 300 plant species.
Its diet included fruit trees, grapes and berries, woody ornamental plants such as roses and some field crops, including corn and asparagus.
MPI previously said the bugs "aggressively invaded" the United States and could become a serious problem here.
The animal was a pest in America after being introduced accidentally, a Pennsylvania State University (Penn State) fact sheet said.
Penn State said the critter had long been bugging farmers in its native China, Japan, Korea and Taiwan.
The university said the malodorous insect could trigger allergic reactions, including conjunctivitis, in people sensitive to the bugs' odour.
"Additionally, if the insects are crushed or smashed against exposed skin they have been reported to produce dermatitis at the point of contact," Penn State added.
Adult animals were usually about 1.7cm long. Penn State said they had shades of brown on their upper and lower body surfaces.
Lighter bands on the antennae distinguished the species from other stink bugs.
