And during the session at the Dolby Theatre she explained in length how difficult it is to dismiss online abuse.
"I was like, 'The spelling's so bad, I'm not taking these people seriously; they have eggs for avatars, I don't care!' And you walk through the day and these horrible phrases are being repeated through your head ... There are things that affect me; I'm weird, I'm affected by violence, threats of rape, I'm a mess!"
The 28-year-old, who spoke alongside her fellow cast members and the executive producers of the HBO series, has hired a woman to take care of her Twitter account.
Dunham said she composes her own tweets but doesn't log onto the social media site herself, although she is kept abreast if there's an "important response".
However, Dunham maintained that Girls will not cow to criticism.
"Whether we're receiving praise or receiving criticism, we're together as a team trying to push the ball forward and continuing to tell stories about these characters we've come to love so much," she said.
She added that she hoped the characters in the show would continue to grow and develop as the years pass.
"Like a campsite, I want to leave all our characters better than we found them ... to take these girls to the next phase of their life."
- Independent