BEIJING—Chinese authorities vowed to “firmly strike” against perpetrators of a suicide car bombing last week that targeted the Chinese Embassy in Bishkek, Kyrgyzstan, which Kyrgyz authorities said was the work of terrorists from the Uighur ethnic group.

In a statement dated Tuesday, Kyrgyzstan’s State Committee for National Security identified the suicide bomber as Zoir Khalimov, a 33-year-old ethnic Uighur who held a Tajik passport. Kyrgyzstan added that the attacker was a member of the East Turkestan Islamic Movement, a separatist group Beijing accuses of waging violent attacks in western China.

At a daily media briefing Wednesday, Chinese Foreign Ministry spokeswoman Hua Chunying said that China, at the request of Kyrgyzstan’s government, was aiding an investigation into the attack.

“They have blood all over their hands,” said Ms. Hua, referring to ETIM generally and not the embassy attack in particular. “We will firmly strike against them and safeguard the safety of the Chinese people in foreign countries.”

The Aug. 30 attack in the Kyrgyz capital killed the attacker and wounded five people, Chinese state media said. Kyrgyz authorities announced that several individuals had been detained in connection with the incident, and that others were being sought.