It has been an incredible week for Healy whose goal for Northern Ireland sank England and made him a legend in his home country.
Unchanged Brighton had won on only one of their previous 12 league visits to Elland Road and that was 20 years ago, but they arrived boosted by their first win of the season against Plymouth.
Leeds, also unchanged, had kept four successive clean sheets, but Brighton striker Leon Knight struck the first goal Leeds had conceded in 411 minutes football to stun the Elland Road crowd.
With 28 minutes gone, Jake Robinson and Frenchman Seb Carole broke down the right and when Carole played a perfect cross into the box, Knight stabbed the ball home from eight yards.
Leeds must have been kicking themselves after dominating the early play but squandering a host of excellent chances, with Healy the main culprit as keeper Wayne Henderson repeatedly denied him.
First Henderson stuck out a leg at the near post to deflect his shot to safety after only three minutes. Then Healy shot straight at the keeper from six yards and soon afterwards Healy ran on to Gary Kelly's through ball but Henderson turned the shot over his bar.
Hulse wasted yet another chance from Frazer Richardson's slide-rule cross and Leeds were almost punished again seven minutes before the break when Dean Hammond headed just too high when it seemed easier to score
In a sensational second half, Carole turned Knight's cross into the far corner of the Leeds net but Healy pounced twice in five minutes to equalise.
Leeds defender Sean Gregan put though his own goal under pressure from Robinson, but when Healy's shot was blocked Douglas rammed his first goal since moving from Blackburn on loan.
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