Stella Creasy, an MP with the opposition Labour party, faced a stream of abuse after supporting a feminist activist who was targeted for campaigning for an image of novelist Jane Austen to appear on banknotes.
Another lawmaker said she too was receiving a barrage of offensive messages, while a man has been arrested and bailed over rape threats to feminist campaigner Caroline Criado-Perez.
"This isn't about Twitter, this is about hatred of women and hatred of women who speak up," Creasy told BBC radio yesterday.
High-profile women in Britain have long complained of online harassment but the issue reached front pages after Criado-Perez said she received "about 50 abusive tweets an hour for about 12 hours" last week.
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Scotland Yard said today that police had received an allegation from an MP about "malicious communications" over comments on Twitter.
Creasy retweeted a series of tweets that included threats from accounts named "killcreasynow" and "eatcreasynow", which have now been suspended.
She said she was reporting the abuse to both Twitter and police.
"I am tempted to shut down my Twitter account given the trolling going on incl. To me -- but that would be giving in," Perry tweeted.
Perry has been advising Cameron on his plans to introduce an "opt-in" system for blocking Internet pornography.
The abuse to Criado-Perez sparked a huge outcry among Twitter users and prompted more than 60,000 people to sign an online petition demanding the network introduce a "report abuse" button and review its rules on abusive behaviour.