The province says all close contacts in the Fredericton area case have already self-isolated.
The new cases bring the total number of confirmed active COVID-19 cases in New Brunswick to eight.
Five of the active cases are in the Moncton area, or health zone 1. There are now two active cases in the Fredericton area.
The case in the Bathurst region is only the second in this region and the only active case in Zone 6.
New Brunswick has recorded 188 cases of COVID-19 since the start of the pandemic. Two people have died and 178 have recovered.
As of Thursday, 349 tests were performed for COVID-19. A total of 58,227 tests were performed in New Brunswick during the pandemic.
What to do if you have a symptom
People who are concerned about having symptoms of COVID-19 can take a self-report test on the government website at gnb.ca.
Public health says symptoms presented by people with COVID-19 include: fever above 38 C, new or worsening chronic cough, sore throat, runny nose, headache , new onset of fatigue, new onset of muscle pain, diarrhea, loss of sense of taste or smell and difficulty breathing. In children, symptoms also included purple markings on the fingers and toes.
People with any of these symptoms should: