Johnny Damon Arrested for DUI, Wife Booked for Battering Cop During Stop

8:47 AM PT -- TMZ Sports has obtained the police report ... in which cops say Johnny Damon's blood-alcohol level was .30, nearly FOUR TIMES the legal limit.

Cops also say Damon's wife was in the car at the time of the arrest -- and describe her as being completely out of control.

In fact, cops say Michelle Mangan-Damon was uncooperative, combative -- and at one point, she actually pushed a police officer.

While Johnny was booked for DUI, Michelle was arrested for battery on a law enforcement officer and resisting arrest with violence.

In the police report, cops say Damon was pulled over at around 1:23 AM after officers observed his SUV swerving all over the road.

During the stop, cops say Damon was slurring his speech and unsteady on his feet -- and ultimately admitted to drinking alcohol earlier in the evening.

In fact, when asked if he had consumed alcohol, cops say Damon replied "just a little bit" while "motioning with his left hand and fingers in a small pinching motion."

Before Johnny and Michelle were taken to the station, cops say Michelle told the arresting officer she had a nanny at home with their six children. So, the officer called the nanny and told her that Johnny and Michelle "were going to jail and would not be home for some time."

While at the station, cops say Johnny agreed to take a breathalyzer test, but noted his wife was advising him against it. Ultimately, cops say Johnny gave two valid breath samples, .30 and .294.

Cops asked Johnny where he was partying before the incident ... to which they say he replied, "London House," which Johnny described as "it's a guy who had a lot of money ... we're just having a good time there."