While most holidaymakers stayed away from the region, Superintendent Kerin Moloney said a minority of people had been blatantly flouting rules.

"This is a life and death situation," he said on Friday.

The $1652 fines were issued between Wednesday and Thursday.

Recent examples include a case where three people were caught drinking in a park and tried to run from police.

They were caught by units patrolling the area.

Three people were also caught driving to get car parts, while campers and hoon drivers were caught earlier in the week.

Superintendent Moloney said most people were doing the right thing.

"The community is generally abiding by the directions of the chief health officer, which we are really pleased with," he said.

"Sadly it's only a small minority that are not concerned for the wellbeing of others in the community.

"In a 24 hour period we had seven fines in Wodonga and six in Wangaratta."

Superintendent Moloney said police had prepared for a potential influx of visitors, but few arrived.

Worried residents reported seeing tourists stocking up on supplies in the supermarket and heading to holiday homes.

Yarrawonga and Bundalong residents called police and use social media to vent about who they had seen roll into the towns.

Cars have been spotted at holiday homes, fast-food outlets and supermarkets.

"I just went to Woolies for an essential top up of supplies and was shocked to see many Melbourne residents and holiday makers filling their trolleys and preparing for a great weekend, bringing with them a great risk," Daimo Doodman said

"Information has been shared that of the eight known cases of COVID-19 in the Yarrawonga area, seven were from Melbourne, six of those had been overseas.

"You cannot stay in a motel, an Airbnb or rent a holiday home for your family due to risk, so why can you travel here if you own a holiday home?"

He said the Victorian government's statement that people could travel to holiday homes, went against the advice to stay away from regional communities.

Despite reports of tourists also heading to holiday homes in Beechworth, Indigo mayor Jenny O'Connor the town appeared to just be full of residents.

The supermarket was doing its normal busy trade on the Thursday before Easter.

"From what I could see it was pretty much local people getting ready for Easter. That was good because I was a bit concerned initially," she said.

"Generally people have listened to the request to stay at home ... It was a very risky weekend, that's when things could have really taken off so I'm feeling hopefully that we've managed to stay safe up here."

Superintendent Moloney said people who travelled to their own holiday home still had to adhere to social distancing rules and other restrictions.