hiltonspt2031611_03_X17WM230.jpgKim Richards is admitting to the world that she has a drinking problem. While appearing on the Real Housewives of Beverly Hills reunion show, Richards tells Andy Cohan, "I'm an alcoholic."

The reality star has recently checked out of rehab ... being treated for alcohol abuse. But this is the first time Richards is admitting that she has a problem with booze.

Also part of the RHOBH three-part reunion show ... Camille Grammer and Taylor Armstrong go at it over the "tea party" episode and Brandi Glanville tries to defend her controversial comments.

Never a dull moment with these ladies from the 90210!