An own-goal from Terriers keeper Jonas Lossl had given the hosts the lead after half an hour.
But a woeful pass-back from Shane Duffy allowed Steve Mounie to round keeper Matthew Ryan and level the scores minutes later.
Davy Propper was shown a straight red for a reckless lunge on Huddersfield skipper Jonathan Hogg with 15 minutes remaining – but even that could not separate the two.
David Wagner’s side stopped the rot of two successive losses with a much-needed point, but they remain dangerously close to the bottom three having started the day just three points above 18th-placed Southampton.
Propper had the chance to put his side ahead in the opening 20 seconds after being put through over the top by Ezequiel Schelotto, but he shanked his effort wide.
Solly March then saw his fizzing strike from distance soon after well deflected and wide by Christopher Schindler.
Huddersfield replied inside 10 minutes, as Rajiv van La Parra’s audacious volley stung the hands of Ryan in the sticks.
But on 30 minutes, it was March who produced some magic to force the opener – his long range shot after brilliantly cutting inside hit the post and then Lossl’s shoulder for an unfortunate own goal.
It should have sparked a few more before half time for Chris Hughton’s men, but instead it sparked a mistake from Mr Reliable Duffy.
His soft back-pass from the flank left Ryan in n0-man’s land, and Mounie snatched the ball and finished into an empty net.
Both sides had chances to win it, with Dunk and Duffy each heading just wide from a corner.
But the game’s flow was disrupted as Propper was shown a straight red after challenging with Hogg on 75 minutes, as both sides settled for a draw.
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