"Hey Kurtz, am I forgetting something or didn't I fire you for serial inaccuracy?" Brown tweeted. "Shurely shome mishtake as British hacks like to say..."
Brown's snipe came in response to a separate tweet from Kurtz, in which he linked to a new New York Times profile of Brown. "Tina tried hard to save Newsweek," he tweeted, "which was probably impossible, but this captures the chaos, waste and dysfunction."
The Times profile cites several examples of pricey expenditures of Brown's as she tried to invest in Newsweek's journalism, even after the magazine had already hemorrhaged money.
For his part, Kurtz was the longtime D.C. bureau chief and media critic for The Daily Beast. He left the publication in May after a column he published with inaccuracies about gay NBA player Jason Collins. At the time, Kurtz said the parting of ways was mutual.
It was announced Saturday that Newsweek would be sold to International Business Times.