In a blog post, the social media giant said it was required for staff in Hong Kong, Japan and South Korea to work remotely.
The company also said it was “strongly encouraging” all of its 5,000 employees around the world to not come into work.
It comes a day after the firm banned all non-essential business travel and events for its workers.
The company had already announced that it was pulling out of this month’s South by Southwest media conference in Austin, Texas.
Twitter’s head of human resources Jennifer Christie said: “Our goal is to lower the probability of the spread of the Covid-19 coronavirus for us – and the world around us.”
The post also emphasized that Twitter has been developing ways to work from home for some time: “While this is a big change for us, we have already been moving towards a more distributed workforce that’s increasingly remote. We’re a global service and we’re committed to enabling anyone, anywhere to work at Twitter.”
Twitter’s chief executive Jack Dorsey has long-supported remote working and in November announced plans to live in Africa for up to six months of this year.
The move is similar to measures put in place by many companies in Asia as the virus sweeps the region, but goes further than most big American businesses as they respond to the outbreak.
A handful of Twitter workers tweeted praise for the decision, congratulating Dorsey for prioritizing employee health. Many of their tweets included the hashtag #webackjack, doubling as support for a CEO under attack from activist investors who may try to replace him.
Other leading technology companies, including Facebook and Google, have postponed or cancelled conferences in the US. Facebook has also joined Twitter by pulling out of South by Southwest.
Staff at Google’s European headquarters in Dublin will work from home on Tuesday as the company tests its preparedness for a potential outbreak in Ireland, but most of the 8,000 workers are expected to return to their desks on Wednesday.
At the same time companies, including telecoms operator A&T and banking giant Citigroup, have restricted international travel, especially to Asia.
The announcement comes as deaths due to the coronavirus around the world have passed 3,000 as the outbreak spreads from Asia to the US, Europe and the Middle East.