A special envoy for the United Nations High Commissioner of Refugees since 2012, Jolie, in an editorial in the New York Times, said refugee policy should be based on facts not fear as such people are "men, women and children caught in the fury of war" and are a victim of terrorism themselves.
Without naming Trump, Jolie said the new decision has been met with shock by US' friends around the world.
"Every government must balance the needs of its citizens with its international responsibilities. But our response must be measured and should be based on facts, not fear," said the actress.
Jolie, who raises three biological and three adopted children, said being a mother she wants her country to be safe for them but she also wants the refugee children who qualify for asylum to have a chance "to plead their case to a compassionate America."
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"If we send a message that it is acceptable to close the door to refugees, or to discriminate among them on the basis of religion, we are playing with fire. We are lighting a fuse that will burn across continents, inviting the very instability we seek to protect ourselves against," she said.
"The lesson of the years we have spent fighting terrorism since Sept 11 is that every time we depart from our values we worsen the very problem we are trying to contain. We must never allow our values to become the collateral damage of a search for greater security."
"Acting out of fear is not our way. Targeting the weakest does not show strength. This is where I would hope any president of our great nation would lead on behalf of all Americans," she said.
Trump last week signed the sweeping executive order to suspend the arrival of refugees and impose tough new controls on travellers from Iraq, Syria, Iran, Libya, Somalia, Sudan and Yemen as part of new measures to "keep radical Islamic terrorists" out of America.
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