Liam Kearns's side trailed the Saffrons 0-7 to 0-5 at the break after putting in less than satisfactory display.
However, they improved considerably at the break and goals from Michael Quinlivan and Philip Austin went a long towards seeing them over the line.
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The referee – Brendan Cawley from Kildare – also had a significant impact on the match.
He gave black cards to Tipp's captain Brian Fix and debutant Willie Connors in second-half stoppage time and also sent off Conor Murray of Antrim for a second bookable offence.
