The Jordanian army also arranged on Monday the biggest airdrop operation so far to deliver aid to Gaza.
He stressed that the only solution to the violence was “a political horizon that leads to a just and comprehensive peace based on the two-state solution."
A video showed King Abdullah in military gear on board a plane in the latest mission by the Jordanian Air Force to drop urgent medical supplies to field hospitals it runs in Gaza.
While visiting Rwanda, Jordan's King Abdullah compared the Rwandan genocide to the conflict in Gaza.
The two men met amid a flurry of high-level diplomatic conversations, as Egypt and Qatar seek to mediate a deal that would end the war.
Some 1.4 million of the 2.3 million residents of the Gaza Strip have fled their homes in an attempt to escape the violence.
Following the tragedy at Al-Ahli Hospital in Gaza, King Abdullah II makes a bold move to cancel an Amman-based summit with US and Egyptian presidents
King Abdullah joined the voices at the UN arguing that a two-state solution at the pre-1967 lines with east Jerusalem as the Palestinian capital is the only viable option.
Abdullah's statement comes in the midst of Ramadan and ahead of Passover and Easter.
A Syrian return to the Arab fold and an easing of sanctions appear possible in the wake of the devastating earthquake, experts say.