"There is no chance of a split in the JD(U), the party is united," Kumar said.
However, Kumar admitted that there was a difference in opinion regarding the Women's Reservation Bill.
"There is an honest difference in the JD(U) on the issue," he said, adding that the differences were only 'ideological'. "There is no other problem," he said.
Kumar was reacting to the report in an English daily in New Delhi which said that 17 out of 20 party MPs met Sharad Yadav to express their support in opposing the Bill.
The Chief Minister's support to the Women's Reservation Bill even when the party president Sharad Yadav was against the Bill had set tongues wagging about a possible split within the party.
Sharad Yadav along with RJD chief Lalu Yadav and Samajwadi Party supremo Mulayam Singh Yadav has demanded a quota for Muslim women and women belonging to backward castes within the 33 per cent reservation.