In a Twitter post, Hannity said the giveaway was for the "supportive and devoted fans of his show".
In protest, some Twitter users posted videos of themselves destroying their Keurig coffee makers.
Keurig's decision to pull its advertising from Sean Hannity's Fox News show is not going over well with some viewers.
Hannity reposted one of the videos on Twitter with the comment "love it".
A feud erupted between the conservative media personality and Keurig over the weekend, after the company announced that it would pull its advertisements from Hannity's show amid criticism of his coverage of GOP Senate candidate Roy Moore.
Critics of the interview said Hannity went too easy on Moore. This prompted what appeared to be a small faction of Hannity supporters engaging in similar acts of tactical genius, smashing their Keurigs in solidarity. Though Hannity initially seemed to support his viewers in their coffee-maker destruction, Gamgort's memo-which did not actually contain an apology to Hannity-seemed to cow him; after it was publicized, Hannity changed his tune, choosing to blame Media Matters instead for initially forcing the company's hand. The machines were snapped up within 30 minutes and the contest is now closed, according to the website.