But the reopening came with new virus protection measures, including temperature checks for workers and a rule that employees keep more than one meter apart.
The factory is co-owned by Honda and China's Dongfeng Motor Group. It was shut in late January when officials ordered a lockdown in Wuhan over the coronavirus epidemic.
The factory reopened on March 11 and began operations slowly. It is now back to its pre-virus manufacturing rate, Li Shiquan told reporters. He is the assistant director of one of the factories.
Returning workers were asked to report where they had been since the epidemic started, Li said. They were also asked to get their temperatures checked. A high temperature is one of the main signs that someone might be infected with the coronavirus.
Li said about 98 percent of the 12,000 factory workers were now back on the job.
The co-owned company made 800,000 cars last year.
"We have many customers who are waiting for cars," he said, adding that workers were putting in extra hours to meet demand.
A sign in the factory said the goal was to make 1,237 cars that day. That is 17 percent higher than its usual target of 1,060 cars.
Factories at another Honda co-owned company, this one with China's GAC, are also asking workers to work longer hours, GAC's chairman Zeng Qinghong told financial experts last week.
The government permitted people to leave Wuhan on Wednesday in what is believed to be an important victory in the battle against the coronavirus.
China's factories began reopening weeks ago as infection rates in many areas started to decrease.
Now, other countries such as Italy and the United States are trying to stop the spread of the virus by asking businesses to close and the public to stay home.
Honda has stopped manufacturing in the U.S. and Canada until May 1. It has also closed factories in countries from Britain to Thailand. Some of its Japanese factories are also closing as necessary.
The Wuhan factory reopened after the government approved its plan to fight infection risks, Li Shiquan said.
The plan included the closure of break areas to prevent groups from gathering. Reuters reporters on a visit to the factory saw workers wearing gloves and masks. Most were staying a meter apart.
Li said no coronavirus cases had been found since the factory reopened.
He added that the factory's more than 500 suppliers in Wuhan had also been permitted to reopen on March 11.
I'm Jill Robbins.