The attacker, Jihad Al-Shamie, drove into a group of people before stabbing a man and was subsequently shot dead by police.
Home Secretary Shabana Mahmood condemned pro-Gaza protests held in Manchester after the attack, saying they lacked "humanity" and were "fundamentally un-British".
Ms Mahmood confirmed the attacker, a British citizen, was not previously known to the police or the Prevent programme.
Chief Rabbi Sir Ephraim Mirvis described the incident as a "very dark time" for the Jewish community, highlighting an "unrelenting wave of hatred against Jews".