The Rhinos have won five of their previous matches against Hull FC.
Then Kirk Yeaman touched down on the near side after Jordan Lilley dropped the ball.
Sneyd nailed the conversion to give the hosts a 12-4 lead with six minutes of the first half remaining.
Sneyd continued to have a major influence on the game, scoring a drop goal on the stroke of half-time.
Jamie Jones-Buchanan looked to have touched down early in the second half but the try was disallowed by the video referee, after he was adjudged to be offside following the rushed kick from Lilley.
Brad Singleton thought he had crossed off for the Rhinos next, after Burrow’s kick was knocked back by Steve Michaels, but the video referee decided no try after Singleton was found to have dropped the ball.
Sutcliffe then converted the try to take the Rhinos to within one point of their opponents.
Watkins the grabbed the match-winner in style, scoring his 100th try for the Rhinos and his second in three minutes.
He avoided the challenge from Sneyd to put Leeds ahead and seal a come from behind win.