"The Brexit mutineers - Remain-supporting Conservatives rebel against May's move to enshrine in law the date Britain leaves EU", Wednesday's headline read, referring to those who voted to stay in the EU in last year's referendum.
"You're right to point out we are more than 500 days on from the European Union referendum and they're still scrabbling about trying to find something that works". Another Twitter user said the article only "serves to divide the Tory party further, making Brexit harder to get through the house".
Another, Anna Soubry, said it was a "blatant piece of bullying" and insisted none of those named wanted to delay or thwart Brexit.
Senior Conservatives including former chancellor Ken Clarke and former attorney general Dominic Grieve are among the backbench Tories pictured on the Telegraph's front page because they oppose a government amendment. She tweeted alongside a picture of the story: "The bullying begins".
"We just want a good Brexit that works for everybody in our country".
Bob Neill, the MP for Bromley and Chislehurst, is one of the Tory MPs named and he dismissed the front page as "ridiculous".More news: America is Not Having Bad Luck With Mass Shootings
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They were joined by most Lib Dem and SNP MSPs - but were heavily outweighed by more than 300 Tory and DUP figures who voted in support.
Brexit minister Steve Baker, who spoke for the government in Tuesday's debate, tweeted: "I regret any media attempts to divide our party".
However, government ministers were quick to disavow the front page, insisting that they did not want their party to be divided by the media and that they were working constructively with those Tories seeking improvements to the European Union withdrawal bill.
Jonathan Djanogly, a former Tory minister who was also pictured on the front page, told the Commons he was unsure about why an exit date should be fixed, noting that this would also fix the date of the transition agreement. It's about how. We want the government to be in the strongest possible position to bring home the best deal.
He said: "I have to say I find this amendment by the government so very odd, because it seems to me to fetter the government, to add nothing to the strength of the government's negotiating position, and in fact potentially to create a very great problem that could be brought back to visit on us at a later stage".
The Brexit date amendment was unexpectedly published on Friday, but MPs will not get the opportunity to vote on it until much later in the eight days of debate on the withdrawal bill, which are expected to be spread over at least a month.