Like his father, he is wanted on charges related to "mafia" taxi activities.
On Friday, after police failed to arrest him, Prap announced that he would surrender today, though most expected him to do so in Phuket, not Bangkok.
To allay disappointment among his supporters, Prap said on his Facebook this morning, "I turned myself in at Buengkom Police Station at 8am. Now I am waiting to come to Phuket.
"Thank you, thank you to the police at Buengkom – because of rain and traffic I was unable to get a flight to Phuket on time, so I went to the nearest police station."
Supporters are still waiting with roses for his father to surrender at Phuket Town Police Station. So far there is no sign of him.