A Chinese student was racially abused by a white male on Thursday evening for wearing a protective mask, it is alleged.
The Multicultural Council of Tasmania said the incident occurred in New Town shopping centre around 5:30pm.
A caucasian male was apprehended by police after allegedly verbally then physically abusing a Chinese international student wearing a face mask.
Bystanders assisted the victims, the council said.
Then, on Friday morning a mother and children of Chinese appearance were verbally abused, it was reported to the council.
Council chair Waqas Durrani said it was "a hate crime, unAustralian and plain bad manners".
"Wearing masks does not mean people are sick," he said. "Many are doing it as a preventative measure.
"Being of Chinese appearance does not make someone a carrier of corona virus.
"Tasmanians of all backgrounds are committed to constraining the spread of coronavirus.
"In these troubled times, what we need is kindness and calm."