A Paul Connor double and Lee Trundle gem gave Swansea a deserved victory over a poor Kidderminster outfit.
Conner struck in the 16th and 87th minutes with Trundle's trickery coming eight minutes after the interval.
The visitors were first on the attack when Simon Brown slipped Kelvin Langmead through in the 14th minute but Kevin Austin deflected the goalbound shot away for a corner.
Two minutes later the Swans went ahead in bizarre fashion when Chris McHale and keeper John Danby collided while trying to clear an Andy Robinson corner.
While the keeper was lying on the ground Andy Gurney sent the ball back into the danger area and Connor deflected into the empty net to gift the home side the lead.
Robinson almost doubled the lead in the 49th minute when he cut inside and drilled a low shot against the foot of the post with the keeper well beaten.
Trundle made his class tell four minutes later when turned visiting skipper Wayne Hatswell in the penalty area before driving his shot into the far corner.
The Swans made it 3-0 in the closing stages when substitute Leon Britton fed Connor who smashed his rising shot into the roof of the net.
Kidderminster manager Jan Molby and Swansea boss Kenny Jackett had words on the touchline after the referee allowed the opening goal and they were at it again in the centre of the pitch after the final whistle.
Molby will have his work cut trying to lift his side who drop to bottom of the table after this defeat.