However, the victory did not come easily to Slough, and indeed the Rebels fell behind to an early goal. After Steve Perkins had brought down an Aylesbury attacker, the resulting free kick was headed in by skipper Jon Derby.
Slough almost conceded a second after a goalmouth scramble, but the visitors responded strongly and Sam Bateman rattled the Aylesbury crossbar with a looping effort 25 yards from goal.
But Slough did grab an equaliser on 16 minutes, as Adam Logie poked in from two yards after an initial effort looked like it was going wide.
The game settled down and Aylesbury began to dominate, as Slough were restricted to a speculative effort from Bateman after good hold up play from Burnell.
Chances were few and far between for either side until half-time approached. Sam Bateman was in the thick of the action again, this time being fouled in the box - and Slough were awarded a penalty, which Danny Burnell placed past Steve Smith to establish a slender half-time lead for his side.
The second half was a tight, scrappy, physical affair with both sides looking to win. Jamie Jackson had to be alert to parry a shot by Price and collect on the second attempt, whilst Simon Martin tried to bundle in an effort from close range, but was denied by a combination of Smith and a defender.
With the game becoming a midfield battle and sporadic attacking play broken up by injury breaks and a fussy referee, the game looked to be petering out, but Aylesbury upped the pressure in the last ten minutes.
A rare attack from the Rebels saw Slough attack down the right, with Logie pulling the ball back to Swift, but the former Burnham man could only shoot wide from distance.
Sean Sonner was introduced to add some energy to the side as Slough looked to retain their lead - and were successful in doing so, but not after the Rebels twice came close to adding to the score as Aylesbury committed men forward.
A Swift free kick was headed into the hands of Smith by Logie, and later, Burnell broke through and played in Swift, who shot narrowly wide from a tight angle again.
Aylesbury Line up
S. Smith, Biggi (Williams), Mead, Stevens, Derby (c), Butler, Price, Douglas, Miller, Hawkins, Blake. Subs not used: A. Smith, Thomson, Brown, Hayward.