When spoken to, both defendants denied hunting deer on the property, claiming they were out for a drive when one of their vehicles tyres was punctured.
Duty solicitor Anna Brosnahan said Sabin Brewer pleaded guilty to get the matter dealt with as quickly and as easily as possible.
"My instructions are that there was no firearm," Brosnahan said.
"They were out scoping the place, but there was no firearm found."
Judge Philip Crayton imposed a fine on both uncle and nephew of $600. He also ordered them to pay $130 in court costs each.
"You know you shouldn't have been on that land whether you were scoping or were just unsuccessful in hunting," he said.
"If you want permission to be on land, ask. Otherwise, stay away from it."