Labour MP Sarah McCarthy-Fry was forced to change her password after the hack attack on the social networking website.
She received a blank message with a link and when she clicked on it, the same message was sent to all 847 people following her account.
It is thought the link contained a virus.
It is thought the virus may be linked to a 'phishing' scam which hackers use to get hold of users' personal details.
Mrs McCarthy-Fry tweeted: 'Apologies to all my followers, I appear to have sent you all a direct message - please note -- it was not me.'
And yesterday she added: 'Password changed so hopefully no more phishing scams.'
As reported in The News, Mrs McCarthy-Fry, MP for Portsmouth North, was the first politician in our area to use Twitter, and she said the hacking incident won't put her off using the site.
'It is where I go for information and news about politics,' she said.'
She added: 'Fortunately it was just a blank message sent in my name and not anything else.'
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