Her family confirmed to that the star passed away at her home in Coarsegold, California on May 1.
Whitney starred as Janice Rand, yeoman to William Shatner's Captain Kirk, for eight episodes in the first half of The Original Series.
After being written out of the show, Whitney returned as Rand in several Star Trek films, including in the 1979 film Star Trek: The Motion Picture and Star Trek IV: The Voyage Home.
Whitney regularly appeared at Star Trek conventions and she also wrote a memoir detailing both her time on the show and her subsequent battle with alcohol and substance dependence entitled The Longest Trek: My Tour of the Galaxy.
As a recovering alcoholic, Whitney spent 35 years helping others with addiction problems and, despite her association with the popular sci-fi show, Whitney's family emphasised that she would want to be remembered as a "successful survivor of addiction".
No cause of death has been reported.
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