Ryan Winder netted the only goal of the game in the first half after firing a free-kick past Chandler Hallwood.
Tadcaster responded well though and dominated the second half with Josh Greening somehow heading over from four yards out.
Tadcaster boss Billy Miller made two changes to the defeat at Trafford with Liam Shepherd and Josh Greening both brought back into the starting eleven.
The Dolly Blues were looking to keep the pressure on league leaders Farsley Celtic and they were certainly doing just that as they took the lead after 14 minutes.
After plenty of successful practice in the warm-up, Ryan Winder stepped up and superbly curled a free-kick into the back of the net from 25 yards.
Albion got out of the City storm shipping just the one goal, and they could have been level shortly after the half hour mark as they slowly worked their way back into the contest.
Dan Thirkell brilliantly reversed a through ball in behind to Josh Greening but he could only fire into the side-netting.
There’s no doubting that the title chasers were the team on top in the first half and they really should have extended their lead less than a minute after Greening’s missed opportunity.
City drove away from a Tad corner and substitute Hannu Tam sprung the offside trap leaving virtually a whole half between just him and goalkeeper Hallwood.
The pacey Tam drove in on goal but the former Walsall stopper narrowed the angle, stood tall and denied the striker’s weak effort.
Set-piece specialist Conor Sellars almost out did Winder’s free-kick three minutes from the interval.
Right side of the penalty box, Sellars whipped the free-kick over the wall and unconventionally towards the far corner but saw his sweet strike crash off the crossbar with the keeper all but beaten.
Josh Greening may not be known for his heading ability, but even he will have been bitterly disappointed not to have rippled the back of the net four minutes into the second half.
Jordan Armstrong, who was outstanding all afternoon for the Brewers, put it on a plate for Greening who somehow headed over the mark from four yards out.
The Brewers, kicking towards the excellent terraced stand at Giant Axe, were putting the home side under severe pressure with a hat full of dangerous crosses and corners into the danger zone.
You got the feeling that the goal was coming for Miller’s men but after the recent run of results, nothing is ever guaranteed.
Carl Stewart didn’t have a lot to work with up top for Taddy but when he did get half a yard to set his sights, Mike Hale was on-hand to push clear.
Chances started to flow for both sides as the match ticked by and Chandler Hallwood had to make an impressive save to keep out Jacob Gregory.
Lancaster were camped deep in their own half as Taddy continued to probe for an equaliser. And with twelve minutes to go Josh Greening went close once again.
Carl Stewart rose highest and glanced down perfectly into the path of Greening but he couldn’t generate enough contact to flick past the City goalkeeper.
In the end it was a similar story to last week’s defeat at Trafford. A dominant second half but nothing to show for their efforts.
Full-Time: Lancaster City 1-0 Tadcaster Albion
Lancaster: Hale, Henry, Sumner, Wills, Steel, Mercer, Gregory, Carney (Akrigg 60), Connerton (Tam 30), Kilifin (Westwood 82), Winder
Subs Unused: Clark, Hudson.
Tadcaster: Hallwood, Armstrong, Shepherd, Barrett, Anderson ©, Thirkell, Youhill, Sellars, Stewart (Jeridi 80), Corner, Josh Greening
Subs Unused: Grant, Ibrahimi, Hansen.