The Manchester United footballer often sings the group's song 'What Makes You Beautiful' to Kai - his child with wife Coleen - and has begged One Direction to show up at the bash, which will be held at his Cheshire home on November 2, to perform it in person for the youngster .
A source told the Daily Star newspaper: ''He wants them to perform a few hits in the back garden at their mansion in Prestbury, Cheshire.
''Wayne's particularly keen to hear them sing 'What Makes You Beautiful', a song he often sings to Kai to make him laugh.
''He's so keen he's even using some of his famous connections in the hope that it will persuade Harry Styles and the rest of the lads to make an appearance.''
Recently One Direction's rivals The Wanted performed at Romeo Beckham's birthday party in Los Angeles after his mother Victoria approached them.
A source said: ''Victoria has some handy connections with the band and it wasn't hard to get them along.
''The lads were in the States anyway preparing for the MTV VMAS and were happy to pop over.
''They met all Romeo's pals and posed for snaps. It's the easiest gig they've ever had.''