"This is effectively a Muslim ban. One that will do nothing to keep us safe and undermines our core American values," Harris, who is of mixed Indian-American and African- American heritage, said as she launched an online petition campaign urging Trump to rescind the ban.
The White House has denied that this is a ban on Muslims.
Senator Schumer, the Senate Minority leader, said the executive orders are wrong.
He demanded that the President immediately rescind the executive orders.
"Still much more work to do; President Trump must overturn this awful executive order," he said.
Schumer demanded that those refugees coming here must not be coerced without advice from supporters and advocates to sign 'voluntary' deportation orders.
Referring to a phone call he had with Gen (rtd) John Kelly, Secretary of Homeland Security, Schumer said he has been assured that the court order will be complied with.
"All those still in airports expected to be admitted," he said.
"The injunction against President Trump's Executive Order must be immediately enforced nationwide to prevent further harm from his immoral and unconstitutional ban on Muslims," she said.
Pelosi said she supports the efforts of the American Civil Liberties Union (ACLU) and others to challenge this order on Constitutional grounds and call on the Department of Homeland Security and US Customs and Border Protection to respect the district court's nationwide injunction prohibiting the US government from removing lawful permanent residents and other visa holders who are returning home to the United States.
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"House Democrats will continue to defend our Constitution and demand smart and strong action to defeat terrorists while protecting religious freedoms," Pelosi said.
Congressman Elijah E Cummings said Americans of all faiths -- Catholic, Jewish, Muslim, Mormon -- must oppose this blatant religious discrimination.
"A policy that stigmatises and isolates Americans of any faith, makes us weaker, not stronger. We are better than this and I urge Republicans in Congress to join Americans across the country in rejecting this hate-driven policy and call on President Trump to immediately rescind this executive order," said Congressman Jim McGovern.
Congresswoman Nita Lowey said America's most powerful tool is its moral leadership.
"President Trump's order doesn't live up to our values and he must rescind it immediately," she said.
