According to TMZ, police noticed the smell of alcohol and ordered the teen to complete a field sobriety test, which he failed.
He was then booked for DUI and released from jail around noon.
"Presley Gerber takes this very seriously and is taking the necessary steps to address the allegations," Presley's lawyer, Scott Spindel, told TMZ.
Presley is yet to comment personally but has continued to post on social media, sharing a video on New Year's day of himself being tattooed.
Fans weren't impressed by the move, posting a number of scathing comments in response.
"Was this before the DUI," one wrote. "Stupid. You could have killed yourself or someone else."