Secretary of State John Kerry should resign for suggesting that Israel could end up as an apartheid state in the absence of a two-state solution, according to Sen. Ted Cruz, R-Texas.

"John Kerry should offer President Obama his resignation and the president should accept it," Cruz said on the Senate floor Monday evening, saying that the apartheid comments "demonstrate[d] a shocking lack of sensitivity to the incendiary and damaging nature of his rhetoric."

Kerry made the remarks in a private meeting Friday, according to audio obtained by the Daily Beast. "A two-state solution will be clearly underscored as the only real alternative. Because a unitary state winds up either being an apartheid state with second-class citizens -- or it ends up being a state that destroys the capacity of Israel to be a Jewish state,” Josh Rogin quotes Kerry as saying. "Once you put that frame in your mind, that reality, which is the bottom line, you understand how imperative it is to get to the two-state solution, which both leaders, even yesterday, said they remain deeply committed to."

Cruz said Kerry has "repeatedly demonstrated a willingness to countenance a world in which Israel is made a pariah because it will not sacrifice its security" for the sake of Kerry's desire to broker a deal between the Israelis and the Palestinians.

State Department spokeswoman Jen Psaki told reporters that Kerry regards Israel as "a vibrant democracy" during Monday's press briefing.

"The secretary does not believe and did not state publicly or privately that Israel is an apartheid state," she said.