The men's and women's teams were challenged to create a four-page ad for the Trump Hotel Collection in Sunday's episode.
However, project manager Star Jones had to intervene when Jackson and NeNe Leakes argued through most of the task, CBS.com reported.
After her team was called into the boardroom, Jones told the show's judge and producer, real estate mogul Donald Trump, Jackson was to blame for the women's failure.
Trump then fired Jackson, CBS said.
Still in the competition along with Jones and Leakes are Hope Dworaczyk, John Rich, Lil Jon, Marlee Matlin and Meat Loaf.