In an Instagram post Saturday, Williams wrote, "Avoiding fear, sadness or anger is not the same thing as being happy. I live my sadness every day, but I don't resent it anymore."
She added: "For those suffering from depression, I know how dark and endless that tunnel can feel, but if happiness seems impossible to find, please hold on to the possibility of hope, faint though it may be."
After years of struggling with his own depression, Robin Williams died on Aug. 11, 2014 at age 63 after hanging himself at his home in California.
This isn't the first time Williams, 26, has addressed her grief on Instagram. She was the first member of her family to address her father's suicide publicly, writing the day after his death, "I'll try to keep looking up."
Six weeks ago, she posted that she was "taking a break from social media," noting that "it's a time better served away from the opinions or sentiments of others."
See her full post from Saturday here: