The former prime minister and divisive political figure died today at the age of 87 after suffering a stroke.
We have closed comments on every #Thatcher story today - even our address to email tributes is filled with abuse— Tony Gallagher (@gallaghereditor) April 8, 2013
"We have closed comments on every #Thatcher story today," said editor Tony Gallagher.
"Even our address to email tributes is filled with abuse."
In response, one Twitter user asked: "What does that tell you about public opinion on spending £3mil on her funeral?"
Though one follower complained that the newspaper "protests for freedom of speech", another noted that meant the newspaper "can publish what they want to and not what others tell them to", to which Gallagher replied "quite so".
Labour peer, businessman and TV personality Lord Alan Sugar has described those insulting Thatcher with "foul mouth comments" as "despicable scum" who "were still drinking milk from a teat in the 80's".
Thatcher's death has prompted a mixed response on social media with many paying their respects, but MP George Galloway evoking Elvis Costello's protest song 'Tramp The Dirt Down' and comedian Sarah Millican adding that "a lot of miners are discovering they can dance today".