After Blackburn’s Darragh Lenihan escaped with a yellow for a last-man foul on Teemu Pukki, Norwich doubled their lead through Mario Vrancic’s sublime 25-yard strike into the top corner.
Lewis Travis soon pulled one back but the hosts comfortably saw out the win, Onel Hernandez’s thumping effort against the bar the closest they came to a third.
Farke’s side are likely to be joined in the top flight by Sheffield United – whose promotion will be sealed if Leeds United fail to beat Aston Villa on Sunday – with the pair to contest the Championship title on the final day.
A draw at Villa on 5 May will be enough for the Norfolk side to be crowned champions, with the Blades three points behind them.
“It’s a moment full of happiness and pride,” Farke told Sky Sports. “This feeling is amazing. For me the Championship is the toughest league in the world.
“Each and every game is pretty close so to come out in the top two teams you deserve it.
“I think of how much we grew during the season – we had so much financial pressure on the club and we had to sell some of our best players, so we had to be creative with our recruitment.”
Stiepermann’s 10th goal of the season was much-deserved as Norwich raced out of the traps in a carnival atmosphere, while Bosnia midfielder Vrancic – making his first start since February – finished ruthlessly from range as Blackburn failed to close him down.
Rovers kept the the Canaries on their toes with a first professional goal for Travis, a side-footed strike that beat Tim Krul, but they could not create another clear-cut chance as they hoped to extend their four-game winning run.
Emi Buendia’s bicycle kick forced a save from Jayson Leutwiler and Hernandez struck the woodwork as Norwich expressed themselves in the second half, with victory taking them past the 90-point mark in a league season for only the third time.
Norwich were last in the top flight in the 2015-16 campaign – finishing 19th – and have now been promoted to the Premier League on four occasions.
