David Hasselhoff‘s ex-wife, Pamela Bach-Hasselhoff, has died by suicide … TMZ has learned.

Law enforcement sources tell us … family members had not heard from her and wanted to check on her out of concern, so they went to her house, which was locked — where they discovered her.

Paramedics were called to Pamela’s house on a report of an unconscious female shortly after 10 PM Wednesday. Pamela was pronounced dead at the scene with a self-inflicted gunshot wound to the head. There was no note, we’re told.

LAPD officers responded shortly afterward.

David tells TMZ … “Our family is deeply saddened by the recent passing of Pamela Hasselhoff. We are grateful for the outpouring of love and support during this difficult time but we kindly request privacy as we grieve and navigate through this challenging time.”

David and Pamela were married from 1989 to 2006. The divorce was contentious … with disputes about monthly spousal support extending into 2017.

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Pamela first appeared on the big screen in Francis Ford Coppola‘s “Rumble Fish” in 1983, starring Matt Dillon, Mickey Rourke and Diane Lane. Film led to TV roles, including “Baywatch” in 1989 … she played café owner Kaye Morgan for 10 years on the series.

Other TV roles included “Sirens,” “The Young and the Restless,” “The Fall Guy,” “T.J. Hooker,” and “Knight Rider,” where she met David.

Pamela’s rep, Sharon Kelly, tells TMZ … “I am in shock and still processing the loss of my dear client Pamela Bach-Hasselhoff. Pamela was a ‘Force of Nature’ … She will be missed.

“My heart goes out to her family, her beautiful daughters and granddaughter who Pamela constantly gushes about and loves so dearly. Pamela often talked about how very proud she was of both her daughters and what they have blossomed into. She was a ‘Proud Mama’!”

Pamela is survived by her and David’s two daughters, and a granddaughter.

Pamela was 62.

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LAST TIME WE SAW HER …