Liverpool got the point they needed to return to the top of the Premier League but were left frustrated after failing to break down a Manchester United side ravaged by injuries.
United lost Ander Herrera, Juan Mata and Jesse Lingard to injury in the first half - but Liverpool struggled to create chances.
Jurgen Klopp's side are one point clear of nearest challengers Manchester City with 11 games to go, while United slipped from fourth to fifth in the table despite a battling performance.
Elsewhere, Arsenal beat Southampton 2-0 to climb above United in the table and increase their chances of qualifying for the Champions League.
Southampton remain in the relegation zone, one point from safety.
Read what happened at the Emirates Stadium here.