Homna Upazila Nirbahi Officer Tapti Chakma said both of the suspects came home from Dhaka four days ago with fever and cough.
Upazila Health and Family Planning Officer Dr Abdus Salam Shikder said they collected samples from the suspects for test.
One of the suspects is an employee of a hospital in Dhaka and another is a lawyer by profession, he added.
Dr Mahbubur Rahman and Medical Technologist Abdullah Al Kafi collected samples from the suspects who had been suffering from fever, cough, throat-ache, the UHFPO added.
Bangladesh on Friday confirmed five coronavirus cases, raising the total number to 61. The country has so far confirmed six deaths from coronavirus.
The global death toll from coronavirus jumped to 53,190 as of Friday. It has so far infected 1,015,466 people around the world, according to worldometer.