Jason Walker's seventh goal of the season 11 minutes from time secured York a point at home to Darlington.
The home side were ahead in the second minute, Jamie Reed firing into the top corner from the edge of the box.
Darlington's first attack saw them level as James Walshaw rounded Michael Ingham after poor York defending.
Marc Bridge-Wilkinson's penalty put the visitors ahead after Jon Challinor had fouled Tadhg Purcell, before Walker's curler levelled for the hosts.
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York City manager Gary Mills told BBC Radio York:
"I thought my lads were absolutely tremendous tonight.
"We started the game very brightly, kept forcing the issue and never gave up.
"I couldn't believe standing there that we weren't going to get anything from that game. It would have been a travesty if that were the case."
Darlington manager Mark Cooper told BBC Tees:
"That's what £70,000 gets you doesn't it? It guarantees you'll get goals like that throughout the season [from Jason Walker].
"I was pleased with the performance, apart from the first 10 minutes when we gave York too much respect and were too deep.
"Once we sorted that out we got ourselves in front, great resilience and I thought we were going to hang on but there was a wonder strike."