Some Democrats have said the president could have acted sooner to bolster the country’s response to the virus.
Just before Mr Trump began to speak, health officials in the US confirmed the country’s second case of the strain of coronavirus contracted by someone who did not travel internationally or come in close contact with anyone who had it.
On Wednesday the US Centers for Disease Control and Prevention confirmed a case of coronavirus in Solano County, California.
"They tried the impeachment hoax … this is their new hoax."
Mr Trump said Democrats only want to see him fail and argued that the steps he has taken so far have kept cases to a minimum in the US and led to no deaths from the virus.
He said: "A virus that starts in China, bleeds its way into various countries all around the world, doesn’t spread widely at all in the United States because of the early actions that myself and my administration took, against a lot of other wishes, and the Democrats' single talking point … is that it's Donald Trump's fault".
The Ebola outbreak barely touched the US but was seen as a factor in that year's midterm elections, which restored control of the Senate to Republicans.