Graham Potter's Seagulls had 20 shots on goal but paid the price for some wayward finishing as part of a contest in which they also hit the post three times.
Leeds then had chances to snatch victory in the closing stages through Tyler Roberts but the contest ended goalless, Leeds moving on to 12 points for the Premier League campaign after 13 games played.
Graham Smyth, the YEP's chief football writer, hands out the scores from the clash at the Amex.
13. Pascal Struijk (sub)
6 - Some nice passes to get Leeds going forward. Not at his most solid defensively, couldn't stop Brighton breaking. Photo by ADRIAN DENNIS/AFP via Getty Images.
14. Tyler Roberts (sub)
6 - Leeds at least had a presence up front with him on. In the right place to get a winner, just couldn't find the net. Photo by Mike Hewitt/Getty Images.
15. Craig Pawson (referee)
6 - Let it flow once or twice when both teams would have preferred a free-kick. No real controversy, ignored loud penalty appeals. Photo by GLYN KIRK/AFP via Getty Images.