It is alleged that Coonan's driving was at a speed or in a manner that was dangerous to the public.
Coonan came to prominence in the second series of Love/Hate playing Fran, a volatile gangster in the Dublin gangland scene.
In the present series his character has come to the fore as one of crime kingpin Nidge's closest allies, helping to burn and dispose of the body of IRA man Git.
When contacted by the Herald, Coonan declined to comment.
His talent representatives at The Agency said they deal exclusively for Coonan with regard to his film, TV and theatre work.
"We have no knowledge of Peter's personal life and as such have no comment to make," said a spokesman.
If he is convicted of dangerous driving, Coonan faces a mandatory disqualification of two years, a fine of up to €5,000 and/or up to six months in jail.
The actor was not in Dun Laoghaire District Court when the case was called this week, but the court heard from his solicitor that a hearing date was being sought.
Judge John O'Connor adjourned the case to a date in January for hearing.
Talented Coonan attended the Anne Kavanagh Theatre School and has worked in theatre, TV and film including Conor McPherson's feature film Salt Water.
In 2010, he played the part of Vince in writer Nick Kelly's short film Shoe, which was screened at the Jameson Dublin Film Festival last year.
But his career rocketed with the role of Fran in ratings winner Love/Hate.