In a post on social media, Ruszin-Szendis said that after receiving the bomb threat, the Wizz Air flight had requested permission to land at the airport in Budapest.
"Within minutes, a Hungarian Defence Forces Gripen fighter jet took to the skies and provided an escort for the passenger aircraft", he said.
After this, the jet returned to its base and police took charge of the incident, he added.
The airline said that after the plane made the emergency landing, it taxied "to a designated stand" where the security checks were carried out.
Wizz Air added that it was "cooperating fully with the authorities", and that the safety of passengers and crew "remains our highest priority".