Mohammed bin Salman also said he accepted some responsibility for journalist Jamal Khashoggi’s killing.
But, he denied personally ordering it.
Mr Khashoggi was killed in Saudi Arabia’s consulate in Turkey on 2 October 2018.
“I take full responsibility as a leader in Saudi Arabia, especially since it [the killing] was committed by individuals working for the Saudi government.”
However, he denied ordering the killing of Mr Khashoggi directly, or having knowledge of it at the time.
Saudi authorities have since blamed a “rogue” operation for his murder and put 11 men on trial.
The prince also appeared to offer talks for a political solution to the civil war in Yemen, where government forces backed by a Saudi-led coalition are fighting Houthi rebels supported by Iran.
Iran is Saudi Arabia’s regional rival and an opponent of the US, which pulled out of a treaty aimed at limiting Tehran’s nuclear programme after Mr Trump took power.
US-Iran tensions have risen markedly this year, with the US blaming Iran on attacks on six oil tankers in the Gulf between May and July. Tehran rejects the accusations.