Leeds went ahead in the 13th minute when Raphinha whipped in a cross from the right flank that sailed past Magpies keeper Karl Darlow into the bottom left corner after Rodrigo had jumped over the ball.
The contest then became a crazy match of attack versus attack and Newcastle were denied by the frame of the goal as a Matt Ritchie effort from 20 yards out flew back off the post.
But the hosts drew level one minute before the break when Joelinton worked the ball to Allan Saint-Maximin who moved wider and wider before unleashing a fine finish into the bottom left corner of the net.
Both sides then had chances during the second half in which Crysencio Summerville was handed a Whites debut but neither team was able to find a winner in their search for a first win of the new Premier League campaign.
Graham Smyth, the YEP's chief football writer, hands out the scores.
13. Crysencio Summerville (sub)
5 - Struggled to really get at Newcastle as Leeds would have wanted. Didn't go missing though, wanted possession. Picture by Bruce Rollinson.
14. Jamie Shackleton (sub)
N/A - On for the last few minutes. Got on the ball, buzzed around, tried to get Leeds playing at tempo. Photo by Stu Forster/Getty Images.
15. Mike Dean (referee)
6 - A bit fussy at times. Got in the way of play, might want to look at the challenge on James in the area again. Photo by Stu Forster/Getty Images.