Police were called to the Uplands, in Smethwick, at around 8.40pm on Saturday following reports of a vehicle colliding with parked cars, before the drive fled the scene.
A man was later traced nearby and arrested on suspicion of driving while over the limit and failing to stop at the scene of an accident.
He remained in custody on Sunday afternoon.
A spokesman for West Midlands Police said: "We were called to reports that a suspected drunk driver had collided with parked cars in The Uplands, Smethwick, at around 8.40pm on Saturday night (1 May) before running off.
"Officers traced the driver nearby and arrested him on suspicion of driving while over the alcohol limit and failing to stop at the scene of an accident. A 31-year-old man remains in police custody."
2nd drink driver arrested in one shift by #Cteam Brierley Hill. The aftermath of this one resulted in multiple vehicles being damaged. Offender left the scene, we made enquiries and located him nearby. He is now under arrest on suspicion of driving whilst unfit through drink JF pic.twitter.com/eseLlZ2jBM— Force Response - #StayAlert (@ResponseWMP) May 2, 2021