WASHINGTON—President Trump said Tuesday that his administration would temporarily bar new immigrants, including some family members of U.S. citizens and foreign workers looking to move to the U.S., in the next 60 days under a new executive order.

Mr. Trump said the immigration suspension, which he announced in a tweet Monday night but hasn’t formally signed, is designed to reduce immigration at a time when tens of millions of Americans have lost jobs as a result of the coronavirus crisis.

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