The administration hopes to replace him with Allison H. Eid, a member of the Colorado Supreme Court. Justice Eid, like some of Mr. Trump’s earlier nominees, was on lists of 21 potential Supreme Court nominees issued during the presidential campaign. The lists were compiled with the help of two conservative groups, the Federalist Society and the Heritage Foundation.

Justice Eid had served as the Colorado solicitor general and as a law clerk to Justice Clarence Thomas. The administration may believe that shifting her from a state supreme court to a federal appeals court could make her a more attractive candidate for eventual elevation to the Supreme Court, as the new job will require Senate confirmation and give rise to a body of federal appeals court opinions.

Conservative groups welcomed the new nominations, which were first reported by The Washington Times.

“Many of the nominees are well known in the conservative legal movement and have shown commitment to principled and evenhanded application of the law throughout their careers,” Carrie Severino, chief counsel of the Judicial Crisis Network, said in a statement. “For the many Americans whose top concern in November was electing a president who would put committed constitutionalists to the courts, this is another major victory.”

Liberal groups expressed dismay.

“Trump’s nominees thus far have had troubling records that have raised real concerns about their ability to act independently of the executive branch,” said Nan Aron, the president of the Alliance for Justice. “Like the previous nominees, this new slate has the burden to show that they are qualified to lifetime appointments to the federal bench.”

Mr. Trump’s new slate includes two other nominees to federal appeals court. One, Stephanos Bibas, is a law professor at the University of Pennsylvania who served as a law clerk to Justice Anthony M. Kennedy and has argued several cases before the Supreme Court. He is to be nominated to the Third Circuit, in Philadelphia.