The country has gone 28 days with no new locally-transmitted infections so far.
Of the total cases, 691 were locally transmitted, including 551 linked to outbreaks in the central city of Da Nang since July 25.
The number of recoveries has reached 1,007 while no patients are under critical conditions.
Among those under treatment, one has tested negative for the virus once, three twice and 13 thrice.
Death toll remained at 35 with most of the fatalities being elderly people with serious underlying health conditions.
More than 15,950 people having close contact with confirmed cases or coming from pandemic-hit areas are under quarantine at present.
Vietnam detected 17 new cases of COVID-19 on September 29, all of whom are people being quarantined in concentrated facilities, according to the National Steering Committee for COVID-19 Prevention and Control.
The 17 new patients all arrived from Russia and are being quarantined in the southern province of Bac Lieu.
