“If Hamas agrees to implement the reconciliation agreement, we are ready," Abbas added.
Abbas also thanked all countries and parties that had contributed to a recent Hamas-Israel ceasefire.
"Our goal is to spare our people more massacres and war crimes," he said.
Since Sunday, at least 14 Palestinians have been martyred -- by Israeli airstrikes and artillery -- across the blockaded territory.
On Sunday night, an Israeli officer was killed -- and another injured -- in a botched ground operation in Gaza.
Tensions appeared to ease slightly late Tuesday after Israel and Gaza-based resistance factions agreed to an Egypt-brokered ceasefire.