Kevin Mack was speaking at a media conference after Murray River police district commander Superintendent Paul Smith revealed more action had been taken against those involved in a demonstration last Saturday.

Police had previously stated five people had been charged and bailed to face court in October after they were called to Kiewa and Dean streets in Albury.

Superintendent Smith said in addition to that group facing 16 charges, others had been fined for failing to obey stay-at-home rules.

"Eight people have been issued with fines and they're $3000 apiece," he said.

"Investigations are continuing to identify others."

An estimated 25 to 30 people were at the protest.

Cr Mack was unimpressed.

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"If they want to get out of lockdown, that's not the real way of going about it," he said.

"From a regional context it was pretty small, but from a context of being released from lockdown things like that don't help."

Wodonga police chief Inspector Paul Hargreaves said such behaviour had been minimal in his jurisdiction.

"We've had some low level people with placards at various times but none that have caused us any issue," he said.

Inspector Hargreaves said three people who had travelled from NSW hotspots were caught and fined in one night in Wodonga this week.

He said Victorians with jobs in NSW had to produce authorised worker permits as well as cross border paperwork when they returned south.

"We're looking for a travel permit, your worker's permit, if that is applicable, and some form of identification," Inspector Hargreaves said.

The Victorian cross border commissioner Luke Wilson is continuing to lobby his state's health department for changes to the authorised worker permit to accommodate NSW employers.

Meanwhile, Superintendent Smith said no truck drivers had been turned around at a Woomargama checkpoint this week following the adoption of permits for travellers from Sydney.

"Very pleased with compliance on the (Hume) freeway, obviously there's an education and a message that needs to get out there, especially through you guys in the media and that's obviously working," he said.

Across the Murray police district over the 48 hours to Thursday morning, 36 fines were issued for health order breaches with some tied to not wearing masks or using QR codes.

Many offences are being reported via phone calls to Crimestoppers, Superintendent Smith said.