The Emmy-nominated actress passed away Thursday night, according to her representatives.
"Our dear and beloved Glenne has indeed passed away. We are all incredibly saddened. Tremendous loss and are holding her family dear," the statement read.
She was shooting for Hulu's "Future Man," a comedy pilot from Seth Rogan. Other credits include "Mr. Holland's Opus," "Mortal Thoughts" and "Lonesome Dove."
Her cause of death was still being determined.