Local TV reports said 1,400 Chinese army medical staff, some with experience of infectious diseases, were arriving in Wuhan and being transferred to the new site.
The following is a timelapse video of the hospital being built.
A second hospital at Leishenshan is due to be finished on Wednesday.
Around 300 people have died from the virus so far, with around 14,000 currently affected.
The number of coronavirus cases worldwide has overtaken that of the similar Sars epidemic, which spread to more than two dozen countries in 2003.
But the mortality rate of the new virus is much lower, suggesting it is not as deadly.
Bird Flu in Shaoyang
Meanwhile, The Chinese Ministry of Agriculture and Rural Affairs reported a case of a highly pathogenic H5N1 bird flu in Shaoyang City, central China's Hunan province.
The virus has killed 4,500 chickens in the city.
Local authorities have sealed off and sterilized the infected area, where a total of 17,828 chickens have been culled and safely disposed, according to the ministry.
(Excerpts from BBC News & CGTN)