They would not provide concrete details but said a formal announcement was due later in the day.
"A breakthrough has been reached on a number of issues... and an agreement will be announced later on Thursday," a member of the Hamas team told AFP on condition of anonymity.
A Fatah official participating in the talks also confirmed that a breakthrough had been made.
The two-day talks, which began yesterday, come after a joint Palestinian delegation and Israel agreed to hold separate indirect talks in late October to thrash out a lasting truce after this summer's 50-day Gaza war between Hamas and Israel.
Hamas in turn accuses Abbas's Palestinian Authority, headquartered in Ramallah, of not paying its 45,000 employees in Gaza.
The two officials told AFP the agreement to be declared later today will focus on empowering the unity government in Gaza and allowing it to govern the strip without hindrance.
They said the two factions also agreed that the Palestinian Authority will manage Gaza crossings to allow construction material and humanitarian aid to pass ahead of an international donor conference in October.
Under Egyptian mediation, Israel and the Palestinians agreed on August 26 to a ceasefire that ended the July-August war between Hamas and Israeli forces.
The conflict ended with an agreement to hold future talks on Palestinian demands to end an eight-year blockade of Gaza and exchange prisoners in Israeli jails for the remains of Israeli soldiers killed in Gaza.
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