Bin Salman's remarks, which he made on the second day of a high-profile investment conference now underway in Riyadh, came one day after Erdogan revealed details of Khashoggi's October 2 murder in the Saudi Consulate in Istanbul.
The development came shortly after Turkish president Recep Tayip Erdogan accused Saudi Arabia of plotting Khashoggi's murder.
Erdogan also says Turkey has other "information and evidence" about the Khashoggi's killing by Saudi officials in the Saudi Consulate in Istanbul, and that it will eventually reveal that information.
At the Future Investment Initiative Forum in Riyadh, the crown prince said Khashoggi's death was hurtful to the Saudis and the world.
Erdogan has said Saudi officials made "reconnaissance" trips to the forest as well as the city of Yalova a day before Khashoggi was killed.
The death of Khashoggi, a Washington Post columnist and critic of de facto Saudi ruler Crown Prince Mohammed bin Salman, has sparked global outrage and mushroomed into a crisis for the world's top oil exporter and strategic ally of the West.More news: DeSantis, Gillum debate Trump and more
Saudi Arabia is the lynchpin of a USA -backed regional bloc against Iran but the crisis has strained Riyadh's relations with the West. Dozens of Western officials, bankers and company executives shunned a big investment conference in Riyadh this week.
Turkey suspects Mr Khashoggi, 59, was dismembered inside the consulate.
Trump said he wanted to believe Prince Mohammed when he said that lower-level officials were to blame for the October 2 killing at the Saudi mission. "Where is it?" Turkey's foreign minister, Mevlut Cavusoglu, said Thursday at a news conference with his Palestinian counterpart.
"Those behind this crime will be held accountable ... in the end justice will prevail". "The family wants to know and they want to perform their last duty", Cavusoglu said, referring to hopes for the writer's burial.
It has emerged that Mr Khashoggi's son has left Saudi Arabia and is on his way to the United States. Another team went to the consulate and removed the hard disk from its security camera, he said.
On Thursday, conflicting reports surfaced about whether investigators had searched a well in the garden of Saudi Arabia's consulate as part of their probe. "An all-women government would be better for Lebanon", he said. The image, obtained by state television TRT and other media, shows a black vehicle with a diplomatic license plate at an entrance to Belgrade Forest.