Police in Pakistan say a suicide bomber has attacked a vehicle carrying a deputy commander of police in the northwestern city of Peshawar, killing one person and wounding three others.

Peshawar police chief Mian Muhammad Saeed says the deputy commander, Malik Tariq, was among those wounded in Thursday's attack.

He says the attacker was riding on a motorcycle and blew himself up as Tariq's vehicle passed through Peshawar, the capital of the Khyber Pakhtunkhwa province, bordering Afghanistan.

Mohammad Khurasani, a spokesman for the Pakistani Taliban, claimed responsibility and warned of more attacks. The militant group has spent more than a decade fighting to overthrow the government and replace it with a hard-line Islamic state.