Among the drama, the sides struck second half goals within a minute of each - Mark Donnelly the scorer for Tyrone, before Down's Donal O'Hare quickly answered.
Tyrone boss Mickey Harte told UTV after the game that, despite the win, it had been disappointing to allow the tables to have turned so quickly.
"You'd want to be able to hold onto a goal lead like that, but to get it back in one go is very disheartening," he said.
"It was a great moral boost for Down to come straight back and get that goal back again."
But Harte was ultimately pleased with the result.
It's not easy to get points here - it's not easy to get points anywhere on the road in Division 1.
Mickey Harte, Tyrone
Down manager James McCartan was disappointed that his side couldn't make more of their first half performance, when they led over a subdued Tyrone.
"When you only trouble the scoreboard a couple of times in the second half, it's never going to be enough," he told UTV.
Both sides lost players to sendings off - Joe McMahon for Tyrone about 15 minutes from time and Down's Conor Laverty in the closing stages.
Harte wasn't pleased with the decision regarding his player.
"I think the standard of refereeing was inconsistent again," he said.
"We have to use that word every time we talk about referees and I'm not seeing any evidence of more consistency appearing."
McCartan added: "We lost the game, we probably feel aggrieved with a couple of the decision - but that's the nature of the job."
In the other Division 1 encounters, Kildare's game against Donegal ended 2-14 to 1-13 and Dublin's clash with Cork finished up 1-18 to 2-9.