Del Harvey, vice president of trust and safety at Twitter, said the social media website "will not tolerate abuse of this nature," referring to the recent cyber-bullying of Robin Williams' daughter, Zelda Williams.
"We have suspended a number of accounts related to this issue for violating our rules and we are in the process of evaluating how we can further improve our policies to better handle tragic situations like this one," Harvey said in a statement to ABC News. "This includes expanding our policies regarding self-harm and private information, and improving support for family members of deceased users."
In the wake of her father's death, Williams, 25, wrote that she was deleting Twitter from her devices.
The decision to step away from social media came after at least two users sent Williams harassing messages and disturbing photos, including a Photoshopped image that was purported to be her father's corpse.
"I'm shaking," Williams tweeted earlier this week before deleting the message. The actress asked her followers to report her alleged tormentors to Twitter.
Twitter has a one-click button that takes users to a page where they can fill out a report detailing alleged harassment.