Australia has also promised to help the Pacific nation identify the source of the outbreak by testing samples from the two dock workers who tested positive on Tuesday.
The number of Covid cases grew from two to five today after three family members of one of those workers also tested positive.
Tongan authorities feared an influx of international planes and ships delivering water, shelter and food supplies in the wake of the devastating volcanic eruption and tsunami last month, could bring COVID-19 to the nation.