The policy is called "kill or capture," but it just involves killing.
Kill or Capture: Obama's Troubling Targeted-Killing Policy : The New Yorker
Protecting American soldiers from potential death or injury during a risky capture operation is a second reason it was judged better to kill Awlaki by remote control. Of course, soldiers should not be placed at unreasonable risk if there is no way to deploy a force that can protect itself during a capture attempt. Surely, however, Special Forces commanders would regard the defense of American constitutional rightness as reason to shoulder at least some physical risks, just as American police officers routinely place themselves at risk by patiently surrounding an armed, defiant murder suspect’s house. They attempt to talk the suspect into surrender, even when it would be safer for the police themselves just to blow the house up.
Even more disturbing is the evidence in Klaidman’s narrative suggesting that the Obama Administration leans toward killing terrorism suspects because it does not believe it has a politically attractive way to put them on trial. Federal criminal trials of terrorist suspects draw howls of protest from many Republicans, even though the George W. Bush Administration successfully prosecuted a number of high-profile terrorists in federal court. Military commissions, the Obama Administration’s reluctantly endorsed best-of-the-bad alternative to federal trials, are unpopular with civil-rights activists and European allies, for good reason, because of their relatively weak protections for defendants. But is political discomfort about this choice of trial venues a reason to override the Fifth Amendment, in the case of a targeted American citizen like Awlaki? Doesn’t the case-by-case application of the due-process clause require some extraordinary finding by the president that capture is not possible? Shouldn’t there be a bias in operations, when an American citizen is involved, toward making an arrest?