But it went on to say that circumstances of K.'s arrest and detention "raised questions" among the judges, who cited international human rights groups as saying terror suspects are "almost without exception tortured" if detained in Pakistan.
"If the U.S. asked Pakistan to arrest K., knowing he would be tortured by the secret service, this would be a reason to block the extradition," the court said.
Judges had asked the Dutch government to seek clarification from U.S. authorities about their role in the detention, but Dutch justice and security ministry officials refused, saying they did not see the necessity of the request.
The government's refusal meant "uncertainty remained about the involvement of the U.S. in the torture of K.," the court said as it blocked his extradition.
Dutch Security and Justice Ministry spokeswoman Sentina van der Meer said officials were studying the ruling and had no further comment.
Sabir K. was released from Dutch detention earlier this year.