The positivity rate kept rising for the last three days as it was 1.42 per cent on Monday and 1.16 on Sunday.
Among the deceased, two were women and one was a man. Each of the deceased was from Chattogram, Rajshahi and Khulna divisions.
With the fresh numbers, the total fatalities rose to 27,961 while the caseload mounted to 1,574,948.
However, the mortality rate remained static at 1.78 per cent.
The fresh cases were detected after testing 20,770 samples, the DGHS added.
Besides, the recovery rate remained static at 97.73 per cent with the recovery of 338 more patients during the 24-hour period.
On Saturday, Bangladesh logged zero Covid-linked deaths with 178 cases.
So far, 3,54,14,244 people have fully been vaccinated in the country while 5,64,02,543 received the first dose as of Tuesday, according to the DGHS.