The 21-year-old former Arsenal man, who was born in Luton and went to Barnfield Academy, has agreed a deal at Kenilworth Road until the end of the season.
Meade, who can play left wing and left back, joined Arsenal as an 11-year-old and made his debut for the Gunners as a substitute in their 7-5 League Cup victory over Reading last season.
He was then given his full debut by Arsene Wenger in the Champions League at Olympiacos, as the Gunners went down 2-1, with Meade replaced by Martin Angha on 83 minutes.
After his contract at the Emirates Stadium expired in the summer, he moved to Wales and has been a regular for the Swans’ U21 squad.
Setchell feels Bedford Town deserved their opening point at Stratford
TK Maxx launches free gift card giveaway to celebrate summer of Great British Sport
Bedford's women cricketers make it three wins in a row
Clubs all set for big kick-off as Bedford Town, Ampthill Town and Real Bedford begin campaigns
New squad numbers... Woodrow hoping he’ll be perfect 10 for Hatters
Boss John Still told the club’s official website: “He’s from Luton and that’s been a big pull.
“It’s an area he knows well and I think it will give him the chance to reproduce his best form.
“Sometimes in life you get the perfect fit, and I think that’s the case for Jernade and for us.”
Meanwhile, Meade added: “It’s great to be back at Luton. The team are doing very well and I’m looking forward to being a part of it.”
For all the latest Luton Town FC news, reports, stats, player profiles, live match updates, MOM poll, prediction table and a complete fixture list, visit our Hatters Microsite.