Burton booked an FA Cup second-round trip to Fleetwood after overcoming Conference Premier side Hereford.
Adam McGurk shot wastefully high when well placed for the Brewers, but atoned soon after when he turned in Chris Hussey's corner to put them ahead.
Frankie Artus almost pulled the Bulls level, but his 25-yard strike was well stopped by goalkeeper Dean Lyness.
Any hopes of a Bulls comeback ended when Matty Palmer fired in from 20 yards out for his first career goal.
VIEW FROM THE DRESSING ROOM
Burton manager Gary Rowett told BBC Radio Derby:
"I'm very satisfied. It could have been a very tricky tie.
"I heard a lot about Hereford in the week; about how they weren't too happy about moving the game and I just thought they'd tried to use that to galvanise their team a bit.
"They'd talked a bit about trying to get their season back on track and using it as a bit of a springboard and I think we were very keen to not be that springboard.
"I think it was also important for us to win at home and get that ball rolling a little bit for ourselves, so we tried something a bit different and I thought it worked quite well."
Burton Albion 16 Lyness 02 Edwards 14 McCrory 08 Weir Booked 05 Diamond 06 Sharps 23 Palmer 07 Bell 20 McGurk Booked 29 Kee (Knowles - 82' ) 03 Hussey (Phillips - 76' ) Substitutes 11 MacDonald 13 Poole 17 Phillips 18 Knowles 21 Holness 22 Dyer 28 Symes Hereford United 01 Evans 02 Leadbitter Booked 07 Purdie 08 O'Keefe 05 McDonald 12 Collins 09 Walker 16 Artus 20 Odhiambo (Brown - 60' ) 15 Rankine 23 Krans (Smith - 60' ) Substitutes 10 Sharp 11 Smith 14 Edwards 17 Brown 21 Lloyd-Weston
Ref: Chris Kavanagh