Congress leader Ajay Maken, who will lead the party's campaign for Delhi Assembly polls, said both Bedi and Arvind Kejriwal "used" Hazare for political gains and "backstabbed" him.
At a media briefing, AAP leader Sanjay Singh said it was "sad and shocking" that Bedi who had been maintaining that she will always remain apolitical and keep raising the issues of people, has joined the BJP.
"I have been fond of Kiran Bediji. I always tried to convince her that she should join politics. I am happy she did it today," Kejriwal tweeted.
The 65-year old former IPS officer was inducted into the BJP fold in the presence of party President Amit Shah and Union Ministers Arun Jaitley and Harsh Vardhan, triggering speculation that she may be in the race for Chief Ministership if BJP wins the polls.
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Describing her as an able administrator who has been a crusader while in government and outside it, Jaitley said the party had been in touch with her for sometime and her joining it will make the party stronger.
Bedi, on her part, said she joined BJP due to the inspirational leadership of Prime Minister Narendra Modi.
Maken said Bedi had described India Against Corruption movement, which was led by Hazare and seen enthusiastic people's participation, "neither anti-Congress, nor pro-BJP" but she "betrayed" the trust of the people associated with it.