Alfreton and Telford ended up with 10 men on each side in an otherwise dour goalless draw.
Paul Clayton went closest to opening the scoring for the hosts but he pulled his shot wide from six yards.
The visitors were soon a man down when Ryan Valentine picked up a straight red for a challenge on Clayton.
Leigh Franks then went the same way for a late, two-footed tackle on Ryan Brooke, while the Bucks' Steve Jones missed from close range.
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Alfreton manager Nicky Law told BBC Radio Derby:
"We did everything we could. I think if there was one team trying to win, it was us and if there was one team that was likely to win, it was going to be us.
"We had a few decent chances, but we haven't got the fire power to kill teams off and that's been the big problem for us all year and I think it was apparent again.
"We just needed a goal and if we'd got one, we would've won the game comfortably.
"We've said it before, but when we need a goal we keep coming up short."
AFC Telford manager Andy Sinton told BBC Radio Shropshire:
"I'm not going to condone what Ryan Valentine did. He had a rush of blood and he let himself and the lads down.
"For some reason the red mist descended, and I've got no complaints about the red card - just like I've got no complaints with the red card for the opposition.
"Alfreton's always a difficult place to come, you know you're going to have to go toe to toe with them.
"They threw a lot at us and at times it was like a war out there, but we stood firm and got a really, really good point against one of our close rivals."