Angela Rayner said firms such as Facebook and Twitter had a responsibility to try to reduce the problem of internet bullying and threats.
“One of the first things they should do is stop anonymous accounts,” she said at a fringe event at the party conference on Sunday.
“Most people who send me abuse do so from anonymous accounts, and would not dream of doing it in their own name
She admitted that forcing users to post under their true identity would not stop online abuse but added: “It would certainly help a little bit.”
“I think they should do more – they do have a responsibility for online,” she told The Guardian.
Ms Rayner also claimed Facebook had told her fellow MP Stephen Doughty that “they had a higher bar for politicians” when he complained about the abuse and threats he had received.
“It is almost as if politicians should accept a certain amount of bullying and abuse online,” she said.
The 38 year-old MP for Ashton-under-Lyne, who has been touted as a future party leader, also told how she had received letters complaining about her strong northern accent.
“I try my best to stay true to who I am,” Ms Rayner said. “I don’t pronounce all of my words how they do on the BBC at times and that is OK, because I sound like the people I grew up with.”
Asked if she viewed herself as leadership material, Ms Rayner replied: “I think anybody can achieve if given the opportunity.”
Ms Rayner has also been mentioned as a candidate for a possible new post of co-deputy leader alongside Tom Watson.
Shadow health secretary Jonathan Ashworth said his colleague was a “very good contender”, adding: “Angela Rayner is great, she’s a good friend of mine, a working-class woman, a trade unionist and former care worker.”
Ms Rayner made headlines earlier this year after describing Labour’s plans to increase public spending as a “shit or bust strategy”.
Additional reporting by Press Association
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