Leaders added they would work to form a partnership with former leader Fatah and other organizations on the basis of an agreed political program.
"There is no winner and loser here," Ismail Haniyeh, the leader of Hamas' national list, told Ha'aretz. "The elections are just the first step on the way to building a Palestinian political system."
Haniyeh, considered the leader of Hamas' moderate wing, refrained from referring to the armed struggle or talks with Israel.
Haniyeh called on the countries of the region as well as the international community to respect the Palestinian people's will.
"Hamas will not act or make decisions alone," he said.
Haniyeh and Hamas' leadership will soon have to make a series of decisions, beginning with appointing officials and deciding on a prime minister.