She made the remark during a meeting with foreign correspondents based in Colombo.
Kumaratunga said in answer to a question that if a judicial process began now into the allegations, which nevertheless should be investigated to find out those responsible, there would not be a new constitution.
The SLFP headed by the president is committed for a new constitution, while those in the joint opposition are opposing it, she said, noting the differing opinions on whether it should be a new constitution or amendments to the existing one only.
General secretary of the party Duminda Dissanayake had said that they wanted a two-third parliamentary passage for ‘a constitutional amendment’ as a referendum would be a complex exercise.
However, Kumaratunga insisted there should be a referendum on a new constitution, but admitted there were doubts if that could be won.
She said the present regime faced more challenges than she had to face when introducing a new constitution, as extremist groups, JHU, Bodu Bala Sena and a JO led by a former president, all are formidable challenges now.
Answering another question, the ex-president said the north-east people were not much interested in a war crimes investigation, and were worried mostly about their area’s development, jobs, education for their students and the fate of their missing relatives.
She questioned a foreign role in such an investigation.
The incumbent government had no programme to communicate ideas with the public, she added.