The arrest happened early Friday morning, according to the Glendale Police Department. Officers pulled over an erratic driver who they say was taking wide turns into opposing lanes.
They determined that 44-year-old Alarcón was driving under the influence of alcohol, and she was placed under arrest.
She was booked at the Glendale City Jail, received a citation and was released the same day.
Additional details surrounding the incident were not immediately available.
Palmdale Mayor Laura Bettencourt issued the following statement to Eyewitness News:
"Residents of Palmdale have raised concerns to our City Council regarding the reports of Councilwoman Alarcón's alleged legal matters. The City of Palmdale acknowledges the seriousness of these alleged incidents, and the City Council will discuss this matter at its next meeting. We anticipate investigating these allegations and evaluating the applicability of the City's code of conduct to provide guidance for our response. If these allegations prove true, I strongly condemn this behavior, and it is unacceptable for any member of our City Council or staff."