Tamworth fully deserve their 2-0 half time lead over Hereford at The Lamb.
The home side have dominated, taking the lead after 7 minutes through Jordan Cullinane-Liburd. Dan Creaney made it 2-0 on 34 minutes.
Tamworth also had a goal disallowed for offside.
The Bulls have lost Kyle Howkins to injury, with Ollie Southern coming on as a substitute.