After Augustus pulled down the rebound of a miss by the Fever's Briann January with 22.9 seconds left and the contest tied, the Lynx set up Lindsey Whalen for a final shot with time winding down that missed the mark. Augustus was in position to tap in the carom an instant before the clock expired, however, for the deciding basket.
Augustus finished with a game-high 18 points on 9-of-12 shooting. WNBA scoring leader Maya Moore was held to 15 points, but contributed 12 rebounds, six assists and three steals for Minnesota.
The thrilling ending capped a nip-and-tuck fourth quarter in which neither team led by more than two points. The game entered the final period knotted at 56-56 following a successful trey by the Fever's Marissa Coleman.
Minnesota trailed by as many as 15 early on, though, with a triple from Karima Christmas just over a minute into the second quarter staking Indiana to a 32-17 advantage.
The Lynx answered with an 11-2 run to get within six, and were down by the same margin after Coleman's jumper in the waning seconds of the first half put the Fever up 44-38 at intermission.
Minnesota then netted the first six points of the second half to pull even.
Christmas paced the Fever with 15 points, while Erlana Larkins compiled 13 points and 11 rebounds.