"It exhibits an attitude by one American who is running for the highest office of our land about a willingness to discriminate against a religion," Kerry said in an interview on "This Week with George Stephanopoulos."
The secretary of state also criticized the Republican frontrunner's statement for going "against our constitution."
"It seems to me that Mr. Trump's statement is wholly and totally without recognition of the true American spirit and values and certainly tolerance," Kerry told ABC News chief anchor George Stephanopoulos.
"I don't believe you can be elected president of the United States if you don't understand climate change or you're not committed to this kind of a plan," he said.
But the secretary of state told Stephanopoulos the American people will not accept a leader who doesn't understand the importance of combating climate change.
"I don't think they're going to accept as a genuine leader someone who doesn't understand the science of climate change and isn't willing to do something about it,” Kerry said.