"Kerry's statements are dreams that will never be realized," Hamas spokesman Sami Abu Zuhri told The Anadolu Agency.
He said Hamas was a "liberation movement" devoted to fighting Israel's decades-long occupation of Palestinian land.
"Resistance is a legitimate right; any Arab or international alliance [against the resistance] will not break Hamas' will," Abu Zuhri said.
On Sunday, Kerry told a Middle East policy conference at the Brookings Institution that Arab nations were ready to make peace with Israel and act against "violent extremists" from the ISIL, Hamas and Nigeria's Boko Haram.
"In the midst of acts of terror… we are seeing the potential for the emergence of a new regional alignment, with little in common but a shared aversion to extremists," Kerry said.
"But I'll tell you what they're all telling me," he said, referring to Washington's regional partners in an anti-ISIL coalition.
"They're telling me they're prepared to stand up and make peace with Israel," Kerry said.
He added: "And they're telling me that they believe there is at this moment the ability to create a new regional alliance – against the Hamases and the Da'eshes and the Ahrar al-Shams and the Boko Harams and so forth."