The result - in stark contrast with the thrilling 6-2 at Old Trafford in the reverse fixture earlier this season - means Manchester City are now just two wins from claiming the Premier League title.
There were few chances at Elland Road in what was a physical clash, the visitors going closest to scoring through a dipping free kick from Marcus Rashford just before halftime which was tipped over by Leeds keeper Illan Meslier.
As always, Marcelo Bielsa’s Leeds were energetic and determined but they too struggled to create openings with their best effort a deflected Helder Costa shot which flew just over the bar.
A plane carrying a slogan against United’s owners, the American Glazer family, flew over the stadium before kickoff.
Additional reporting by Reuters.