Vips joined the Red Bull set-up as a junior driver in 2018
Red Bull suspended the 21-year-old Estonian last week after used a racist slur in a live-streamed game he was playing with fellow junior Liam Lawson.
And on Tuesday they announced that he had been sacked, reiterating that they "do not condone any form of racism".
Red Bull had said there was a "full investigation into the incident".
Vips, who drove for Red Bull in first practice at the Spanish Grand Prix last month, had issued an apology via Instagram shortly after the incident, describing his language as "entirely unacceptable" and saying that he "deeply regretted" his actions.
Vips is seventh in this year's Formula 2 championship with Hitech Grand Prix, for whom he was racing with Red Bull backing. His future with the team is unclear.
-- Courtesy of BBC Sport