"Nip/Tuck" star Dylan Walsh looked rattled and shaken after his violent car crash ... he's seen on police body cam explaining to officers how the harrowing incident unfolded.

In the intense footage -- obtained by TMZ -- cops rush up to Walsh's SUV just moments after he swerved into oncoming traffic and slammed into two utility poles. Gallery Launch Gallery TMZ.com

Walsh's wife, Leslie , is seen getting treated for her injuries as she lays on the street ... and you can hear Dylan tell cops he was behind the wheel. He adds he isn’t sure how the crash happened ... saying he looked down, and the next thing he knew they were in the wreck. TMZ.com

Dylan says, "I was really tired, I was driving and it happened. I don't know how it happened" ... noting that he and his family w

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