The summer signing was on fine form as last season's runners-up made an impressive start to the 2013-14 league campaign
Summer signing Pierre-Emerick Aubameyang grabbed a hat-trick and was a constant threat at the SGL Arena, becoming the sixth player in Bundesliga history to net a treble on his debut.
A Robert Lewandowski penalty with just five minutes remaining capped the rout for the visitors.
Augsburg put in a workmanlike performance but failed to trouble the Dortmund defence on many occasions.
And it was Jurgen Klopp's men who almost made the perfect start in the opening minute when a Kevin Grosskreutz long ball ricocheted into the path of Aubameyang.
The striker ran down the right and played the ball into the path of Lewandowski, but the Pole’s effort was blocked by Jan-Ingwer Callsen-Bracker.
But Markus Weinzierl's side were not overawed and pressed their opponents high up the pitch, going close through debutant Halil Altintop’s first-time volley, although it went wide of goal.
The Bavarian side's gutsy plan came undone, however, as the visitors broke the deadlock.
Marcel Schmelzer received the ball on the left before delivering an exquisite lofted cross straight into the six-yard box where Aubameyang stole away from his marker to finish with a low, diving header.
However, Augsburg's Raphael Holzhauser went close twice shortly before the break as an effort was cleared off the line, before Mitchell Langerak, in goal for the suspended Roman Weidenfeller, strongly palmed away the Austrian’s 30-yard effort.
Dortmund almost doubled their lead five minutes after the restart. Holzhauser's pass was intercepted and the away side launched a swift counter-attack.
The ball was moved to Aubameyang and the Gabon international strode into the box to fire an effort towards the near post but was only denied by a good save from Mohamed Amsif.
However, he was not to be denied moments later.
Reus took ownership of the ball in the middle of the opposition half and slid a well-timed through-ball into the path of Aubameyang, and the new-boy coolly slotted his effort across the goalkeeper into the far corner.
It got better for the forward as with 10 minutes remaining, Aubameyang sprung the offside trap to latch onto a Lewandowski through-ball before rounding Amsif and firing into the empty net.
Lewandowski completed the rout from the penalty spot following Jan-Ingwer Callsen-Bracker's foul on Jonas Hofmann to cap-off a satisfying open-day victory for Dortmund.