Darren Pratley's two goals condemned Sean McAuley to a losing start as Sheffield Wednesday caretaker boss.
The midfielder took just five minutes to put Swansea in charge, Gorka Pintado laying the ball on for Pratley to take in his stride and beat Lee Grant.
Wednesday rallied and it took a good save from Dorus de Vries to keep out Jermaine Johnson's fierce shot.
But the Owls then struggled and Pratley struck a second goal, meeting Nathan Dyer's low cross at the near post.
Wednesday parted company with Brian Laws last weekend but McAuley was unable to inspire an improvement as Swansea maintained their push for promotion.
The Owls are now winless in the last 10, having lost the last six and face the harsh reality of relegation if they do not make drastic improvements.
Wednesday could not have made a worse start as they fell behind to the first meaningful attack of the game in the fifth minute.
Pintado picked the ball up on the left and flighted a fine pass over the top and, with Wednesday trying to play the offside trap, Pratley ran clear before slotting the ball past goalkeeper Grant.
The hosts responded positively, though, and nearly levelled twice in a minute.
First Johnson's 25-yard drive was palmed over by De Vries and then from the resulting corner, Darren Purse's header was beaten away by the Dutch keeper.
Johnson was a continued threat on the wing but wasted possession, while the hosts were always vulnerable to the Swansea counter-attack.
And so it proved nine minutes before the interval as Pratley got his and Swansea's second with a wonderfully-crafted goal.
There was an interchange of passes before Andrea Orlandi set the dangerous Dyer free.
The winger beat his full-back before centring for Pratley, who met the cross with a low and powerful shot from 12 yards out to bag his fourth of the campaign.
McAuley's men did improve after the break and controlled the majority of the possession, but their lack of creativity in the final third told and De Vries had very little to do.
Substitute Francis Jeffers did have a golden opportunity to get one back when he found himself in space in the penalty area but a heroic piece of defending by Swans skipper Alan Tate saw Jeffers' shot blocked.
Swansea did not try to force the pace in the second period and seemed content to sit on their lead.
However, as much as Wednesday huffed and puffed they were not able to make the breakthrough and were subjected to a chorus of boos at the full-time whistle.
Sheffield Wednesday caretaker manager Sean McAuley:
"I feel for the players. They are in a bad position at the minute and there is a fear and a lack of belief.
"I think the ability in the squad is quite good but, at this moment in time, they are definitely not playing to their potential levels.
"They are not pushing the boundaries and I think that is because of fear.
"I think the endeavour and enthusiasm throughout the first half was good. I thought they played with so much heart but never played with the head."
Swansea City manager Paulo Sousa:
"Darren Pratley has started to understand better and better to pick his moments to attack.
"This is what we expect from him and, if he starts to do it more regularly, he will not play in the Championship, he will play in the Premier League.
"We are working hard for everyone to be ready to score and it's what I want to see. Everyone should score.
"They started well but we showed the responsibility and the personality I want to see."
90:00+4:07 The final whistle is blown by the referee.
90:00+2:47 Federico Bessone challenges Marcus Tudgay unfairly and gives away a free kick. Darren Potter takes the free kick.
90:00+0:28 James O'Connor concedes a free kick for a foul on Cedric Van der Gun. Direct free kick taken by Albert Serran.
89:16 The assistant referee flags for offside against Leon Clarke. Direct free kick taken by Alan Tate.
88:15 Substitution Guillem Bauza joins the action as a substitute, replacing Gorka Pintado.
85:49 Francis Jeffers has shot on goal from just outside the box which goes wide of the right-hand upright.
83:13 Substitution Albert Serran comes on in place of Jordi Lopez.
82:50 The assistant referee signals for offside against Andrea Orlandi. Free kick taken by Lee Grant.
80:13 Francis Jeffers gives away a free kick for an unfair challenge on Alan Tate. Free kick taken by Dorus De Vries.
Correction - 79:25 Free kick awarded for a foul by James O'Connor on Darren Pratley. Direct free kick taken by Jordi Lopez.
79:25 James O'Connor gives away a free kick for an unfair challenge on Darren Pratley. Alan Tate takes the direct free kick.
78:55 James O'Connor challenges Andrea Orlandi unfairly and gives away a free kick. Jordi Lopez takes the free kick.
76:17 Centre by Frank Simek, save by Dorus De Vries.
74:26 Substitution Thomas Butler joins the action as a substitute, replacing Nathan Dyer.
72:51 Free kick taken by Federico Bessone.
72:51 Booking Frank Simek goes into the book for unsporting behaviour.
72:24 Free kick awarded for an unfair challenge on Nathan Dyer by Frank Simek.
71:56 Free kick taken by Angel Rangel.
71:56 Booking Tommy Spurr goes into the referee's book.
71:54 Free kick awarded for a foul by Tommy Spurr on Cedric Van der Gun.
70:52 Francis Jeffers takes a shot. Alan Tate gets a block in.
70:24 Free kick awarded for an unfair challenge on Francis Jeffers by Cedric Van der Gun. Darren Purse takes the free kick.
68:59 Substitution Jermaine Johnson leaves the field to be replaced by Luke Varney.
68:11 Cedric Van der Gun challenges Tommy Spurr unfairly and gives away a free kick. Free kick taken by Lee Grant.
66:01 Shot from 35 yards from Jordi Lopez. Save by Lee Grant. Andrea Orlandi takes a outswinging corner to the near post.
65:22 Jermaine Johnson is penalised for handball and concedes a free kick. Alan Tate takes the free kick.
63:30 Angel Rangel concedes a free kick for a foul on James O'Connor. Darren Potter crosses the ball in from the free kick, save made by Dorus De Vries.
62:13 Francis Jeffers gives away a free kick for an unfair challenge on Ashley Williams. Free kick taken by Ashley Williams.
56:18 Free kick awarded for a foul by Darren Pratley on Darren Potter. Direct free kick taken by Darren Purse.
54:40 Short corner taken by Darren Pratley.
53:25 Substitution Lewis Buxton leaves the field to be replaced by Frank Simek.
51:07 Inswinging corner taken right-footed by Darren Potter, Ashley Williams makes a clearance.
49:22 Darren Potter fouled by Darren Pratley, the ref awards a free kick. Direct free kick taken by Darren Purse.
49:14 Gorka Pintado is flagged offside by the assistant referee. Direct free kick taken by Darren Purse.
48:49 Leon Clarke takes a shot. Angel Rangel gets a block in.
47:41 The assistant referee flags for offside against Leon Clarke. Free kick taken by Dorus De Vries.
46:47 Andrea Orlandi takes the outswinging corner, Gorka Pintado takes a shot. Comfortable save by Lee Grant.
46:23 Darren Potter concedes a free kick for a foul on Darren Pratley. Angel Rangel takes the free kick.
45:16 Foul by James O'Connor on Gorka Pintado, free kick awarded. Jordi Lopez restarts play with the free kick.
45:01 The second half has started.
45:01 Substitution Francis Jeffers is brought on as a substitute for Sean McAllister.
Half Time
45:00+2:05 The first half comes to an end.
42:41 Lewis Buxton delivers the ball.
42:05 The official flags Gorka Pintado offside. Lee Grant restarts play with the free kick.
40:23 The assistant referee signals for offside against Nathan Dyer. Indirect free kick taken by Lee Grant.
36:49 Unfair challenge on Ashley Williams by Lewis Buxton results in a free kick. Federico Bessone takes the indirect free kick.
35:29 The assist for the goal came from Nathan Dyer.
35:29 GOAL - Darren Pratley:Sheff Wed 0 - 2 Swansea Darren Pratley scores a goal from inside the area low into the middle of the goal. Sheff Wed 0-2 Swansea.
33:54 Free kick awarded for an unfair challenge on Dorus De Vries by Leon Clarke. Dorus De Vries takes the indirect free kick.
33:33 Centre by Darren Potter, clearance by Ashley Williams.
32:58 Corner taken by Darren Potter.
31:32 Darren Potter fouled by Jordi Lopez, the ref awards a free kick. Darren Potter takes the free kick.
30:00 Mark Beevers gives away a free kick for an unfair challenge on Darren Pratley. Alan Tate takes the free kick.
27:17 Tommy Spurr challenges Cedric Van der Gun unfairly and gives away a free kick. Andrea Orlandi takes the free kick.
25:39 The assistant referee signals for offside against Gorka Pintado. Lee Grant takes the direct free kick.
24:46 The ball is sent over by Tommy Spurr. Leon Clarke concedes a free kick for a foul on Cedric Van der Gun. Dorus De Vries restarts play with the free kick.
24:01 The ball is sent over by James O'Connor.
22:08 Darren Pratley takes a outswinging corner from the right by-line to the near post.
18:58 Inswinging corner taken right-footed by Darren Potter, Mark Beevers takes a shot. Save by Dorus De Vries.
16:57 Free kick crossed by Darren Potter, clearance made by Alan Tate.
16:57 Booking Booking for Ashley Williams for unsporting behaviour.
16:16 Foul by Ashley Williams on Tommy Spurr, free kick awarded.
15:30 Andrea Orlandi delivers the ball, blocked by Sean McAllister. Andrea Orlandi takes a outswinging corner from the left by-line played to the near post.
14:47 Corner taken by Darren Potter, save by Dorus De Vries.
12:37 Jermaine Johnson takes a shot. Save by Dorus De Vries. Darren Potter takes the outswinging corner, save by Dorus De Vries. Corner from the right by-line taken by Darren Potter, free kick awarded for a foul by Jermaine Johnson on Dorus De Vries. Direct free kick taken by Dorus De Vries.
11:09 Unfair challenge on Jermaine Johnson by Jordi Lopez results in a free kick. Darren Potter restarts play with the free kick.
10:28 Lewis Buxton fouled by Darren Pratley, the ref awards a free kick. Darren Purse takes the free kick.
9:13 Foul by Tommy Spurr on Nathan Dyer, free kick awarded. The free kick is delivered right-footed by Jordi Lopez from right channel, clearance by Darren Purse.
8:41 The assistant referee flags for offside against Marcus Tudgay. Dorus De Vries restarts play with the free kick.
7:49 Gorka Pintado concedes a free kick for a foul on Darren Potter. Lee Grant takes the direct free kick.
4:31 Assist on the goal came from Gorka Pintado.
4:31 GOAL - Darren Pratley:Sheff Wed 0 - 1 Swansea A goal is scored by Darren Pratley from inside the box to the bottom right corner of the goal. Sheff Wed 0-1 Swansea.
3:46 The ball is sent over by Jermaine Johnson.
1:53 Inswinging corner taken by Andrea Orlandi, save by Lee Grant.
0:00 The ref blows the whistle to start the match.
Live text and data provided by The Press Association.
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