During an interview with CBS, Rob Joyce said he did not use products from the company and advised consumers to follow his lead.
Asked by interviewer Jeff Pegue whether he would advise his family or parents to use the Kaspersky anti-virus software, Joyce replied:
"I would not. I worry that as a nation state Russia really hasn't done the right things for this country and they have a lot of control and latitude over the information that goes to companies in Russia. So I worry about that."
Last month, the US government removed Kaspersky products from a list of approved software suppliers for two government-wide purchasing contracts.
And there have been reports that the US Senate was set to use a provision in the National Defence Authorisation Act to look at a ban on the company's software in all federal agencies.
The move against Kaspersky Lab has come in the wake of allegations that Russia interfered in the 2016 US presidential elections. Recently, the US approved more sanctions against Russia and Moscow retaliated by saying it would expel several hundred American diplomats.
CBS quoted Michael Morell, a former deputy director of the CIA, as saying: "There is a connection between Kaspersky and Russian intelligence, and I'm absolutely certain that Russian intelligence would want to use that connection to their advantage."
Joyce was asked whether as cyber tsar he should do more to get the word out to the public about Kaspersky Lab products.
He replied: "I think they should look at the decisions the government is making, and then make their own decisions."
Kaspersky Lab has repeatedly denied that it is in any way connected to the Russian government. It also says that the company has never helped, nor will help, any government in the world with its cyber espionage efforts.