Hereford hammered Tamworth to leave the Lambs just two points above the Blue Square Bet Premier drop zone.
The Bulls were 3-0 up at the break through two penalties from Josh O'Keefe and Rod McDonald's close-range finish.
The home side stretched their lead after the break with Sam Clucas's effort and a Kingsley James tap-in.
Tamworth limited the damage to their goal difference thanks to Joe O'Connor's own goal and a long-range strike from Lee Hendrie.
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