Jordan has executed by hanging a jailed Iraqi woman militant whose release had been demanded by the Islamic State group that burnt a captured Jordanian pilot to death, a security source said on Wednesday.

Responding to the killing of the pilot, whose death was announced on Tuesday, the Jordanian authorities also executed another senior al Qaeda prisoner sentenced to death for plots to wage attacks against the pro-Western kingdom in the last decade.

Sajida al-Rishawi, the Iraqi woman militant, was sentenced to death for her role in a 2005 suicide bomb attack that killed 60 people. Ziyad Karboli, an Iraqi al Qaeda operative, who was convicted in 2008 for killing a Jordanian, was also executed at dawn, the source said.

Jordan, which has been mounting air raids in Syria as part of the U.S.-led alliance against Islamic State insurgents, said it would deliver a "strong, earth-shaking and decisive" response to the killing of pilot Mouath al-Kasaesbeh.

The fate of Kasaesbeh, a member of a large tribe that forms the backbone of support for the country's Hashemite monarchy, has gripped Jordan for weeks and some Jordanians have criticised King Abdullah for embroiling them in the U.S.-led war that they say will provoke a militant backlash.

The king cut short a visit to the United States to return home following word of Kasaesbeh's death. In a televised statement, he said the pilot's killing was an act of "cowardly terror" by a deviant group that had no relation to Islam.