Manager Jim Vince, whose squad have had just five training sessions together, included three trialists from the start - full backs Rob Scott, who was with Town last season, and Mattone Awang and left winger Colin Hunter.
And there were a further fou
r on the bench, among them former Bradford City frontman Joe Brown.
Matt Woolley fired in the first shot of the new club's history, his effort from the edge of the area being deflected wide for a corner inside the opening minute.
And Neil Ross curled a free kick narrowly wide nine minutes later after he had been fouled by Callum Burgess.
But the home side started to come to terms with the opposition and went in front after 17 minutes when Nick Wright fired home.
Gareth Sheldon struck a post on 27 minutes and Craig Mawson saved well from the same player 10 minutes before the break before denying Alex Rodman.
Adam Morning fired in a shot that was tipped over by Wil Puddy in the Tamworth goal and Ross Clegg sent a curling effort narrowly wide as Halifax looked for an equaliser after the break.
But Tamworth, who were marshalled well by the Town defence, made the game safe with 10 minutes remaining when Lee Hildreth fired past sub keeper Craig Ellison from the edge of the area.
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