Bale and Aston Villa left-back Neil Taylor are both banned for the game, with Wales having drawn their last four qualifiers to sit third in Group D, four points behind Republic of Ireland and leaders Serbia.
Liverpool forward Ben Woodburn is again in the squad after being called up but not given his debut against Ireland in March, while defenders Joe Walsh, Tom Lockyer and Gethin Jones are included, along with midfielder Lee Evans.
Full Wales squad to play Serbia on June 11:
Goalkeepers: Wayne Hennessey (Crystal Palace), Danny Ward (Liverpool), Owain Fôn Williams (Inverness Caledonian Thistle)
Defenders: James Chester (Aston Villa), Ben Davies (Tottenham Hotspur), Chris Gunter (Reading), Gethin Jones (Everton), Tom Lockyer (Bristol Rovers), Jazz Richards (Cardiff City), Joe Walsh (MK Dons), Ashley Williams (Everton)
Midfielders: Joe Allen (Stoke City), Dave Edwards (Wolverhampton Wanderers), Lee Evans (Wolverhampton Wanderers), Emyr Huws (Cardiff City), Joe Ledley (Crystal Palace), Aaron Ramsey (Arsenal), Harry Wilson (Liverpool)