Among the measures is an increase in the reward for samples from hunted wild boars, from 50 to 500 euros until the end of the year.
"The purpose of this is to encourage a more effective reduction of the wild boar population outside the infected zone and support the eradication of the disease in Finland," the government writes in a press release.
The government also says it is strengthening surveillance and testing. If necessary, the core area of the infection zone - in Vederlax in Kymenlaakso in southwestern Finland - can be fenced off to prevent the spread.
African swine fever is highly fatal to wild boars and pigs, but harmless to humans. The outbreak was detected on July 30.
