According to reports in Italy, Massimo Brambilla, currently in charge of the club’s U23 side, will take over on an interim basis.
Tudor leaves Juve in a precarious position after eight games without a win, stretching back to 13 September.
The Bianconeri have lost their last three matches, 2-0 against Como, 1-0 to Real Madrid, and 1-0 to Lazio, a sequence that ultimately cost the Croat his job.
Juventus face Udinese at home on Wednesday before travelling to Jamie Vardy’s Cremonese on Saturday.
They then host Portugal's Sporting in the Champions League eight days later.
In Serie A, Juve sit in eighth place, five points adrift of leaders Napoli and Roma.
Their Champions League campaign has also faltered, with the Italian side languishing in 25th and outside the play-off spots on just two points.