The 'prank' messages are being sent to the airline in their droves, some claiming they have planted bombs on specific flights and dates.
User @ComedyBatman tweeted: "You really seem to not care that i'm about to bomb your plane that's headed to Paris. Btw, my name is Ahmed", while @AldoFernz wrote: "the bomb goes of in 3 hours".
The latter tweet has since been deleted after the user received backlash online. He followed up with "my apologies go out to all, but why can't y'all take a joke".
The messages follow in the footsteps of 14-year-old Sarah who originally tweeted the airlines to say: "hello, my name's Ibrahim and I'm from Afghanistan. I'm part of Al Qaida and on June 1st I'm gonna do something really big bye".
American Airlines responded to the message, saying: "Sarah, we take these threats very seriously. Your IP address and details will be forwarded to security and the FBI".
Attempting to rectify the situation, the teen typed: "I'm really sorry. I'm really scared now. I made a joke, please... I'm just a girl."
The tweets have since been deleted, along with the youth's Twitter account.
Dutch officials later confirmed Sarah reported to the police following the incident, accompanied by a relative.
A spokesperson for Rotterdam police told AFP: "She's been taken into custody with a hearing against her to start soon".
The arrest has angered members of the public who have shown their solidarity on various social networking sites.
It is not yet known whether the airline will take similar action against those sending threatening tweets.
@Cinow75: "In two days a bomb is going to explode in one of your planes."
@SebastianSoko: "HI STAY SAFE BECAUSE I'M GOING TO THROW A MASSIVE BOMB AT JUNE 3TH ANY AIRPLANE GOING TO US. ALQAEDA IS STILL ALIVE."
@Shyylicious: "I have a bomb under the next plane to take off"
@ddlovatosteddy: "I'm gonna bomb your 737 jet"
@eduardo37276391: "Hello, I'm eduardo. ago a couple of weeks were warned, i´m ignored. you will pay the consequences. Bomb! HAHAHAHA"
@nonfreak: "release her or I’ll bomb your HQ. you gonna arrest me now?"
@WaleedMeshari: "Hello Am From Iraq i Want 1Million Or I Will Plan A Bomb To Your Next Flight To Paris !! Bye Bye America"