Karunakaran is actively promoting his own son and daughter in politics, Mr Chandy, who was here on Wednesday to take part in the Dandi yatra, said.
He said he was trying to revive the Congress party in Kerala but Karunakaran wanted his son and daughter to occupy important political positions though both of them have faced defeat in the last polls.
Meanwhile, raising the banner of revolt against Mr Chandy, Mr Karunakaran called for his removal from the chief ministers post to help solve the crisis in the partys state unit.
No such circumstances exist that will lead to a split in the party, he said in Thiruvanathapuram on Wednesday.
The I faction has no wish to split the party in the state, he said, adding, however, that Mr Chandy would be solely responsible if that happened. The problems in the party could be solved if Mr Chandy was removed from the post, he said.
Asked whether the faction led by him had the strength to put forward such a demand, Mr Karunakaran said it was not as if the faction had only the 13 MLAs who participated in the Kochi rally. There are others. They will join when the situation arises, he added.
Reiterating that the I factions main demands were the conduct of organisational polls and recognition to Congressmen of all sections, Mr Karunakaran said he believed organisational polls would be held as per schedule.