Kuwaiti women wear protective masks as they sit in a restaurant inside the Mubarakiya Market in Kuwait City. AFP
The three were identified as Bahraini women who arrived at Bahrain international airport on indirect flights from Iran.
Kuwait announced on Wednesday there were two new coronavirus cases in the country, with the infections occurring among people returning from Iran.
The new cases bring the total number to 11 in Kuwait, according to a statement by the health ministry.
The disease is believed to have originated in a market selling wildlife in the Chinese city of Wuhan late last year and has infected about 80,000 people and killed more than 2,700, the vast majority in China.
Adding to a growing sense that a rapid spread of the virus in more places is inevitable, a top World Health Organization (WHO) official urged that preparations be made now.
In the United States, the U.S. Centers for Disease Control and Prevention also urged Americans to prepare, saying that while the immediate risk there was low, the global situation suggested a pandemic was likely.
"It's not a question of if. It's a question of when and how many people will be infected," the CDC's principal deputy director, Anne Schuchat, said on Tuesday.
The United States has reported 57 cases of the virus.
Dr Bruce Aylward, head of a joint WHO-Chinese mission on the outbreak, told reporters on his return to Geneva that preparations should not wait.
"Think the virus is going to show up tomorrow. If you don't think that way, you're not going to be ready," he said.
Aylward said China's "extraordinary mobilisation" to handle the outbreak showed how an aggressive public health policy, including large quarantines, could curb its spread.
The rapid spread of coronavirus over the past few days to multiple countries is a matter of huge concern. COVID-19 has now been found in as many as 40 countries.
Although China reported its fewest new infections of coronavirus since January and its fewest deaths for a week, the world community needs to remain vigilant as the risks continue to remain enormous.
Saudi Arabia, Kuwait, Iraq, Turkey, Pakistan and Afghanistan impose restrictions on travel and immigration from Iran
In a statement, the Ministry stressed its aim to continue expanding the scope of testing nationwide to facilitate the early detection of coronavirus cases and carry out the necessary treatment.
The violating establishments were from Nadd Al Hammar, Port Seed and Naif, and were engaged in varied activities, including retail, air-conditioning installation, wholesale trading, textiles and fabrics.
A gang of six Asians were arrested and referred to criminal court, for robbing a Dubai company’s warehouse and stealing medical masks worth Dhs150,000.