After just four minutes, Slough were immediately on the back foot as an early attack from the home side resulted in a header from Mitchell Weiss, but Jonathan North was there to keep it away from danger.
Slough had their first attack of the game on 11 minutes as Jackman caught keeper Michael Johnson off guard with a cross at the near post, but the keeper was there to catch it comfortably.
Skipper Scott Davies gave Slough their first real chance of the game on 25 minutes as he hit a quick low powerful effort from 25 yards out, but the ball went just wide of the post of the goal.
On 32 minutes, Slough were forced into a change as Matthew Lench sustained a groin injury and was taken off to be replaced by Max Worsfold.
Slough then were presented with the best opportunity of the game just before the interval as Alfonso Tenconi counter-attacked and slotted the ball into Aaron Kuhl’s path, who attempted to chip it over Johnson as he was off his line, but it went just wide of the post.
St Albans also had two chances in quick succession to break the deadlock before the break, but North was there to keep the score level heading into the break.
From the referee’s whistle to start the second half, Slough almost found a breakthrough as Worsfold crossed the ball in to Tenconi, whose bullet header went straight into the keeper’s arms.
However, the only goal of the game came on 50 minutes as the hosts counter-attacked and John Goddard’s effort found the net despite North getting a hand to the ball.
St Albans almost doubled their lead just eight minutes later as a counter from a Slough corner resulted in Weiss running up the pitch and squaring the ball to Banton, whose attempt rattled the crossbar.
One final attempt from the Rebels came from the head of new signing Edon Pruti, but it was too high to trouble Johnson.
The game stopped for a minute’s applause on 66 minutes for Keith Baker, who sadly passed away on Friday - a lovely touch from officials, players and fans alike, and a fitting tribute to one of non-league’s greats.
St Albans City Line up
Michael Johnson, Tom Bender, Kyran Wiltshire, Bayley Brown, Shaun Jeffers, Zane Banton, Mitchell Weiss (Romeo Akinola 85), Callum Adebiyi, Joy Mukena, Johnny Goddard, Avan Jones. Unused substitutes: Liam Sole, Alex Tokarczyk, Huw Dawson, Alex Lankshear.