The justices found that the plaintiffs - the Republican-governed state of Texas and three non-Native American families - lacked the necessary legal standing to bring their challenge.
They also rejected challenges to the law, known as the Indian Child Welfare Act of 1978, on other grounds.
Congress passed it to end a longstanding practice in the United States of removing many Native American children from their families and placing them with non-Native Americans.
At the time of the law's passage, between 25% and 35% of all Native American children were removed in states with large Native American populations, according to court papers.
Interior Department and federal officials by Texas and the three families who sought to adopt or foster Native American children.
Persons:
Amy Coney Barrett, Clarence Thomas, Samuel Alito, Joe Biden, Biden, Jennifer, Chad Brackeen, Barrett, Brett Kavanaugh, Kavanaugh, Andrew Chung, Will Dunham
Organizations:
U.S, Supreme, Constitution's, Republican, Indian Child Welfare, Tribal Nations, Indian Child Welfare Association, National Congress of American, Child Welfare, U.S . Interior Department, Circuit, Thomson
Locations:
Texas, United States, Navajo, New Orleans, New York