Hoffenheim's unbeaten start to the new season continued with a 2-0 victory as Stuttgart slipped to the bottom of the Bundesliga on Saturday afternoon.
It was Stuttgart who started the brighter of the two sides, but they were denied an early goal when Oliver Baumann tipped Martin Harnik's header past the post.
Hoffenehim were in front in the 15th minute through Anthony Modeste, who found space from a free kick to head past a helpless Sven Ulreich.
Stuttgart always looked capable of finding a way back into the match, but they were wasteful in front of goal as Moritz Leitner fired wide from close range just before the break.
A bright start to the second half should have produced the equaliser, but Stuttgart's poor finishing display continued as Timo Werner curled wide after evading a couple of challenges.
Daniel Didavi was the latest player to go close for the hosts when he whipped a free kick just past the post as the game entered its closing stages.
Hoffenheim made their opponents pay for the missed chances in the 84th minute as Tarik Elyounoussi wrapped up the points by sprinting clear of his markers before drilling home his side's second.
