Capital punishment in the United States
The method of execution of federal prisoners for offenses under the Violent Crime Control and Law Enforcement Act of 1994 is that of the state in which the conviction took place. If the state has no death penalty, the judge must choose a state with the death penalty for carrying out the execution. For offenses under the Drug Kingpin Act of 1988, the method of execution is lethal injection. The Federal Correctional Complex in Terre Haute, Indiana is currently the home of the only death chamber for federal death penalty recipients in the United States, where inmates are put to death by lethal injection. The complex has so far been the only location used for federal executions post-Gregg. Timothy McVeigh and Juan Garza were put to death in June 2001, and Louis Jones, Jr. was put to death on March 18, 2003.

Q: Under what federal statute are offenses punished by lethal injection?
Drug Kingpin Act of 1988