Health Minister Chen Shih-chung emphasised the additional risk in taxis, where it is impossible to maintain social distancing.
People in Taiwan have been advised to stay at least 1.5m away from each other while indoors and 1m away while outdoors.
Since Friday, public transport passengers can be fined for not wearing a mask.
Confirmed cases in Taiwan of Covid-19 - the potentially lethal respiratory disease caused by the novel coronavirus - rose by eight on Sunday, to a total of 363 patients.
Five people have died so far and 54 have recovered, according to the Central Epidemic Command Centre. - dpa/Asian News Network
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