Club bosses and Wolf, who had guided them to promotion last season, met straight after the game and decided a change was necessary to avoid relegation, Stuttgart said in a statement.
The 2007 Bundesliga champions are in 15th place on 20 points, three above the relegation playoff spot after losing six of their last seven league games.
"After this discussion we all came to the conclusion that the danger of turning the corner under the current structure was too great and a new impulse was needed to get back on track," said sports director Michael Reschke.
Wolf had taken over in September 2016 and achieved immediate promotion in his first season in charge.
A successor will be named in the coming days, the club said.
(Reporting by Karolos Grohmann; Editing by Amlan Chakraborty)
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