The notice, issued on Thursday at the request of the Turkish government, names Saud al-Qahtani, a top aide to bin Salman, as well as the country's ex-deputy army chief, Ahmed al-Assiri.
A large number of human rights concerns were raised during the UPR of Saudi Arabia, such as the detention of Saudi human rights activists - including women driving activists - jailed exclusively for peacefully advocating reform, as well as systemic discrimination against women, justice for the slain journalist Jamal Khashoggi, and violations of global humanitarian law in Yemen.
Khashoggi, a Washington Post columnist and critic of Saudi Crown Prince Mohammed bin Salman, was killed in the Saudi consulate in Istanbul on October 2, provoking an worldwide outcry.
The 20 suspects will be searched across the world.
Turkey requested a red notice for 18 suspects November 15 and another two December 21, the ministry said on Twitter.
Interpol was not immediately available for comment.
Aiban's statements come a week after a rare censure of Saudi Arabia by 36 countries demanding transparency into the Khashoggi investigation. " While not naming any names, he said that 11 Saudi citizens had been indicted for the "heinous crime" past year". It said earlier on Thursday that Saudi authorities should disclose the names of defendants and the charges they face if it wanted to avoid questions over the "sincerity of judicial proceedings in the kingdom".
It also criticized Aiban's rejection of any foreign investigation.
"What is being conveyed by certain media regarding the need for us to internationalise some of these matters is something we do not accept because such demands amount to interference in our domestic affairs and in our domestic judicial system", he told the forum in Geneva.
Besides, the Red Notice was also issued for 15 suspects in the execution team while three for consulate employees, according to Turkish Justice Ministry.
"We find it hard to understand why an official working in the area of human rights would possibly be unsettled by efforts to shed light on all aspects of the Khashoggi murder, which received a global response", Altun said in a statement.
"Justice in the Kingdom of Saudi Arabia operates pursuant to worldwide law and it does so in all transparency", Al-Aiban told the Geneva forum. More than a month after his death, the Central Intelligence Agency concluded Salman ordered Khashoggi's death.
While Saudi Arabia has abolished the ban on women driving since its previous review, other government-enforced guardian restrictions remain in place, including on travel outside the country.
Three dozen Western countries, including all 28 European Union members, called on the kingdom last week to cooperate with a United Nations -led investigation.