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.
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.