The victory makes it four points from a possible six for Garry Monk's side since the Championship's restart, with goals from Connor Wickham and Massimo Lungo enough for the three points.
Nakhi Wells replied for the hosts but the Owls held on for a precious victory. Here are the match ratings.
Joe Wildsmith, 7: Owls goalkeeper produced a stunning first-half save, at 0-0, to keep out Nathan Baker and palm the ball over the crossbar.
Liam Palmer, 8: Mr Consistency at Sheffield Wednesday. Slotted in as a third centre-half and made a goal-saving recovery tackle to deny Nahki Wells.
Dominic Iorfa, 7: Nicked the ball off Nahki Wells to deny the former Huddersfield Town striker, and led the defence well.
Julian Borner, 6: Wednesday’s only recognised centre-half but limped out at half-time after having his thigh strapped up.
Kadeem Harris, 7: Impressed as wing-back and lasted the 90 minutes, never stopped running up and down the flanks.
Barry Bannan, 8: Wednesday’s midfield general and dictated play at Ashton Gate. A calm head a in a frenetic finish to the game.
Massimo Luongo, 7: The Australian is always a goal threat, and was on hand to fire home Wednesday’s second, match-winning goal.
Kieran Lee, 7: Picked up a yellow card for a ‘tactical’ foul, but was always available for a pass and after some injury-plagued seasons looks back to full fitness.
Jacob Murphy, 7: Picked out Connor Wickham from a corner for the Owls’ opening goal, and was denied getting on the scoresheet himself by Niki Maenpaa.
Jordan Rhodes, 7: Had few chances to score, but a willing worker and his parternship with Connor Wickham is starting to look promising.
Connor Wickham, 8: Scored for the second successive game after lockdown, and looks a different player after regaining full fitness.
Substitutes: Morgan Fox (Borner, 45) 7.
Alessio Da Cruz (Rhodes, 61) 6.
Moses Oubajo (Murphy, 75) 6.
Joey Pelupessy (Luongo, 76) N/A.
Atdhe Nuhiu (Wickham, 82) N/A.