They have since been found at their homes on the central coast and issued with a fine for failing to comply with the COVID-19 health direction.

NSW Police said the two men were travelling in a Skoda from Ballarat on Thursday afternoon when they attempted to enter NSW at the Hume Freeway checkpoint but did not have a valid permit.

"They were advised to enter NSW via air and isolate for 14 days; however, the men were again refused entry later the same night at the Wodonga Place border checkpoint," a police statement said.

"On Saturday, August 22 police were alerted that both men had entered NSW and were residing at their homes on the state's central coast.

"At 4pm on Monday officers attached to Port Stephens-Hunter Police District attended the home of one of the men, aged 69, in Raymond Terrace, issuing him with a PIN for fail to comply with noticed direction in relation to section 7/8/9 - COVID 19.

IN OTHER NEWS:

"At 9.30am yesterday officers attached to Newcastle City Police District attended the home of the second man, aged 68, in Newcastle East, and issued the same PIN."

Another man tried to cross the border on the Riverina Highway and Murray Street, Lake Hume Village checkpoint on Monday night without a permit.

"The 49-year-old man did not have a permit to enter NSW and following inquiries, it was revealed police had spoken to the man, and refused him entry into the state at another border closure earlier in the night.

"The man was issued with an $1000 PIN for fail to comply with requirement of the Public Health Act."

Meanwhile, police spoke to a 46-year-old man at 2.40pm on Tuesday driving a Toyota Camry sedan, on Rand Road, Balldale, and allege he had made a false declaration when applying for a permit to enter NSW.

He was issued a $1000 PIN for attempting to cross border with a permit that did not meet the purpose for his travel.