Jordan intensified its strikes after captured pilot Moaz al-Kasasbeh was shown being burned alive by the IS.
Jordan has carried out nearly 20% of all sorties by the US-led coalition against IS in Syria so far, Gen Jbour said, adding: "We are determined to wipe them from the face of the Earth."
IS seized control of large areas of Iraq and Syria last year, prompting hundreds of raids by coalition war planes.
The focus of Jordan's air strikes is reported to be Raqqa, the IS stronghold in Syria, but no specifics were given.
Gen Jbour said the strikes had degraded nearly 20% of the militants' capabilities.
A video of Lt Kasasbeh, 26, being burned alive in a cage, was posted online by IS earlier this week.
He was captured by the militants in December after his F-16 fighter jet crashed in Syria. The video is believed to have been filmed on 3 January.
Jordan had offered to swap Sajida al-Rishawi, a failed female suicide bomber, for the captured pilot. Jordan executed Rishawi and another convicted al-Qaeda operative on Wednesday.
Timeline: Jordanian pilot held hostage
24 December 2014: Jordanian Lt Moaz Youssef al-Kasasbeh captured by IS after his plane crashes
25 December 2014: Pilot's father urges IS to show mercy
20 January 2015: IS threatens to kill two Japanese hostages unless Japan pays $200m ransom within 72 hours
24 January: IS releases video of Japanese hostage Kenji Goto holding a picture apparently showing Haruna Yukawa's decapitated body
24 January: IS calls for release of Sajida al-Rishawi, an Iraqi militant sentenced to death in Jordan
28 January: Jordan offers to release Rishawi in exchange for Lt Kasasbeh
29 January: Deadline to kill Lt Kasasbeh and Mr Goto expires
31 January: Video released appearing to show Kenji Goto's body
3 February: Video released appearing to show Lt Kasasbeh burnt alive, with Jordanian media suggesting he was killed weeks earlier
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