He said the victims are a 45-year-old man and his 9-year-old son.
The special AirAsia flight had flown 107 Malaysians and their family members from Wuhan, which is the epicentre of the coronavirus outbreak.
With the two latest cases, Malaysia now has 12 confirmed cases of coronavirus infection.
Dzulkefly said the two cases were being treated at the isolation ward in Hospital Tuanku Jaafar, in Seremban, Negri Sembilan, and they are reported to be in stable condition.
“It’s a family of four. The father and son were infected, the mother and the daughter were not,” said Dzulkefly.
“They were among the 107 people sent to a monitoring centre (after arriving back from Wuhan). Both (father and son) showed no symptoms but have since tested positive.
“But the two people who showed symptoms (after arriving back from Wuhan) and were sent to Hospital Kuala Lumpur have tested negative.”
When asked about the possibility that others on the flight would also be positive for the coronavirus in the near future, Dzulkefly said that all of the people on board went through the same standard operating procedure before boarding and while disembarking – and that they were under a 14-day quarantine period.
Dzulkefly yesterday confirmed the first case of a coronavirus infection involving a Malaysian, a 41-year-old who returned from Singapore after attending a conference in January.
The nine other victims are Chinese nationals – eight who entered the country via the Johor-Singapore border while the ninth came into Malaysia through the KL International Airport.
Dzulkefly said each patient is being cared for based on their specific symptoms such as fever and cough.
“There is no specific drug or antiviral (drug) to treat them,” said Dzulkefly.
“Coronavirus is self-limiting and will end with a person’s immune system defeating it,” he added.
The minister said Malaysia is adding 16 more laboratories to the existing two which are capable of conducting coronavirus tests – the Institute for Medical Research in Jalan Pahang in the capital and the National Public Health Laboratory in Sungai Buloh.
Twelve of them are hospital laboratories while the other four are public health laboratories.
Dzulkefly also said that several private hospitals have expressed interest in joining the stable of laboratories which have the capability to test for coronavirus.
The National Public Health Laboratory is set to conduct a course for them tomorrow.