The Swans were beaten 4-1 at home by United in their opening fixture last season and will hope to gain revenge at Old Trafford on the weekend of 16 August and spoil Louis van Gaal’s Premier League bow.
Swansea take on newly-promoted Burnley in their first home fixture a week later and also meet West Bromwich Albion at the Liberty Stadium before the end of August.
A home game against Aston Villa is scheduled for Boxing Day, and there are further festive matches away to Liverpool on 28 December and at Queens Park Rangers on New Year’s Day.
Swansea will take on Manchester City at the Etihad Stadium on 22 November and then tackle the defending champions in their final home game on 16 May.
The final day of the campaign will see Garry Monk’s men, who finished 12th last term, visit Crystal Palace.
Opening three games:
August 16 - Manchester United (a)
August 23 - Burnley( h)
August 30 - West Bromwich Albion (h)