Susic was expected to name his full squad for Brazil, but has called up an extra player due to an injury concern over right-back Mensur Mujdza.
Stoke City's Asmir Begovic and Manchester City striker Edin Dzeko are included.
One shock name called up is that of his nephew - Hadjuk Split midfielder Tino-Sven Susic, who has just one cap.
It is expected that the 22-year-old Susic or Anel Hadzic will drop out of the party, should Mujdza prove his fitness in time for the final selection, which must be lodged with FIFA by June 2.
Explaining his squad for Brazil, Safet Susic stated: "Only the players who are regular starters at their clubs could expect a call-up and having a compact unit such as this one is essential for a good atmosphere in the dressing room.
"I know there are people who will disagree and that some players left out will be disappointed, but these are the best 24 we have at the moment."
Amongst those to miss out are Bochum midfielder Adnan Zahirovic and Gornik Zabrze defender Boris Pandza.
CSKA Moscow's 38-year old defensive midfielder Elvir Rahimic has been added to Susic's backroom personnel.
"Rahimic has given so much to the national team and he is already more or less part of his club's coaching staff, hence I wanted him in the dugout," said Susic. "He has accepted the offer and will go to Brazil with us."
As was the norm during qualifying, Bosnia have just two recognised strikers in Dzeko and Stuttgart's Vedad Ibisevic, but Susic is not concerned.
"As far as I am concerned, Edin Visca, Senijad Ibricic and Izet Hajrovic are all attack-minded players," he said.
"I don't really need more than two strikers because we will only start with one in our opening group match against Argentina.
"I knew several months ago that (Muhamed) Besic would be in the squad because he is the only player here who can handle the job of man-marking Lionel Messi.
"I also think this Argentina side is better than the (Diego) Maradona-led one which I played against in the 1990 tournament so we will need to keep it tight against them.
"Our goal is to reach the last 16 and I think we are in with a fair chance because there is little or nothing between Nigeria, Iran and us, while Argentina are the odds-on favourites to win the group."
The Bosnians open their Group F campaign against Argentina at the Maracana in Rio on June 15, before playing Nigeria in Cuiaba on June 21 and then Iran in Salvador four days later.
Bosnia's World Cup squad:
Goalkeepers: Asmir Begovic (Stoke City), Jasmin Fejzic (Aalen), Asmir Avdukic (Borac Banja Luka).
Defenders: Emir Spahic (Bayer Leverkusen), Sead Kolasinac (Schalke), Ermin Bicakcic (Eintracht Braunschweig), Ognjen Vranjes (Elazigspor), Toni Sunjic (Zorya Lugansk), Avdija Vrsajevic (Hajduk Split), Mensur Mujdza (Freiburg), Ervin Zukanovic (Gent).
Midfielders: Zvjezdan Misimovic (Guizhou Renhe), Haris Medunjanin (Gaziantepspor), Miralem Pjanic (Roma), Sejad Salihovic (Hoffenheim), Senad Lulic (Lazio), Izet Hajrovic (Galatasaray), Senijad Ibricic (Erciyesspor), Edin Visca (Istanbul BB), Tino Susic (Hajduk Split), Muhamed Besic (Ferencvaros), Anel Hadzic (Sturm Graz).
Forwards: Edin Dzeko (Manchester City), Vedad Ibisevic (Stuttgart).