Mika Brzezinski, "Morning Joe" co-host, confronted Conway about avoiding the question.
"I don't understand what that has to do with Mark's question," Brzezinski said as Conway complained about unfair media coverage. "We're asking why he lied about Lester Holt."
"He didn't lie," Conway said.
"Um, I think he did," Brzezinski said.
"Mika, a lie would mean that he knew the man's party registration," Conway said.
Conway — who has criticized the Clinton campaign for urging reporters to fact-check Trump — then launched into an attack on the reporters who cover her candidate.
"What I would ask you to do is to start looking at the Twitter feeds of quote 'objective' reporters, particularly our embeds," Conway said. "These are not profiles in courage, and this is not journalism. There are people who cover our campaign who actually just slander our candidate on Twitter. Ninety-two percent of one of them — I have them all on my desk, we've printed them all out — 92 percent of at least two of our embeds' tweets are negative toward Donald Trump. Why are they on our campaign plane? Why are they covering our campaign if they can't say, 'Hey, look at this crowd' ... So excuse the Trump campaign if we feel like we can't get a fair shake from certain people."