"Sorry no apology for being demonstratively a voice of public anguish. Prepared for any punishment," she tweeted on the micro-blogging website Twitter.
In contrast to Bedi's stand, Actor Om Puri apologized for using derogatory remarks to deride the political class.
The privilege motion notices against both Bedi and Puri, who made the remarks at the Anna Hazare fast venue at Ramlila maidan last week in a no holds barred attack against politicians, are under the consideration of Presiding officers of Rajya Sabha and Lok Sabha.
Bedi earlier refused to comment on the breach of privilege motion moved against her saying she is yet to receive any notice.
"I will respond to it when I receive it. I have neither received nor been informed of it. I cannot go by news reports," Bedi told PTI.
Members in the two Houses of Parliament have given privilege notices against Bedi and Puri for using "derogatory and defamatory" language against politicians.
Bedi had accused politicians of wearing "several masks" at the same time, drawing the ire of MPs from both Houses.
On Saturday, Bedi had defended her controversial comments and said she does not regret the outburst and the theatrics that put the members of Parliament in bad light.
She also said her action reflected an outpouring of anger and concern and that she was only reacting to the kind of situation on that day when Hazare was on the 11th day of his fast.
Bedi had pulled a scarf from the neck of a young activist on stage, wrapped her head with it and proceeded to mock MPs.