Stuttgart were made to endure a miserable night thanks to a relentless home team who were able to strike six goals past keeper Sven Ulreich.
Although the away side hit the lead first through Karim Haggui, they were made to suffer with Dortmund immediately responding with two quick goals.
In the second half, Polish striker Robert Lewandowski scored a 18 minute hat-trick with Pierre-Emerick Aubameyang scoring the sixth.
Goals and key events:
13' Haggui
19' Sokratis
22' Reus
54' Lewandowski
56' Lewandowski
72' Lewandowski
81' Aubameyang