Backbencher Nadine Dorries called for the former chancellor, who is now editor of the London Evening Standard, to have his media pass to attend the annual get-together in Manchester next month to be withdrawn.
She spoke out following a report that Mr Osborne allegedly told colleagues at the newspaper that he wanted the Prime Minister “chopped up in bags in my freezer”.
He has also frequently criticised the Prime Minister, who sacked him from her Government shortly after taking over in Downing Street.
Ms Dorries, who once branded the former Cabinet minister an “arrogant posh boy”, wrote on Twitter: “I have contacted Chief Whip and asked that Osborne’s conference pass be withdrawn for expressing a desire to see a woman, the PM, murdered.”
The MP stepped up her criticism of the former Tory chancellor in an itnerview on ITV’s Good Morning Britain show.
She said: “It’s not just that one isolated comment; it’s a number of comments taken in context.”
Ms Dorries pointed out that Mr Osborne had described Mrs May as “a dead woman walking” following the loss of the Tory parliamentary majority in the general election in June.
She said: “The latest alleged comments are that he wants to see her murdered, dismembered and lying in his freezer.
“I think when you put all those comments together there’s something deeply disturbing about them.
“I just think it’s gone too far and I know most of my colleagues do.
“This has now gone too far, it’s slightly disturbing and I don’t think it’s appropriate.”
She added: “Almost every day in Britain women suffer violence at the hands of men – normalising this type of dialogue, this discourse, particularly in public life, has consequences and it’s not appropriate.
“Yes, of course, we have the rough and tumble in politics, it is a dirty game, but that doesn’t matter.
“We should set the standard that other wants to follow.”
Security at the Tory conference is expected to be tighter than ever following warnings of mass Left-wing protests against the Government.
Hard-Left activists from the so-called People’s Assembly Against Austerity have organised a series of protests under the banner of a “Take Back Manchester Festival”.
Labour shadow chancellor John McDonnell is expected to appear at some of the protests.