Emmanuel Bonaventure took advantage of a mistake in the defence. Sergio Romero chipped the goalkeeper and give the hosts the lead in the 15th minute.
However, Martial equalized the score line after a sloppy work in defence by Club Brugge defender.
Club Brugge forwards Percy Tau and Emmanuel Bonaventure caused Manchester United problems throughout the first half with their pace and direct running.
Former Liverpool goalkeeper Simon Mignolet produced what can only be described as a defensive-splitting pass.
United were obvious favourites going into this tie and Brugge knew if they were going to qualify, they would need to produce the goods at home.