An environmental group challenging a plan to relocate bison in Yellowstone National Park won’t get another chance to argue the project violates federal environmental law, a federal court ruled.

A series of amended complaints filed by Cottonwood Environmental Law Center alleged the National Park Service and Montana state officials failed to comply with the National Environmental Policy Act in the relocation program.

But the environmental group’s complaints all failed to state a valid claim, the U.S. District Court for the...