"We welcome the Lokpal Bill," Kumar, also JD(U) leader, told reporters here.
JD(U), which recently walked out of NDA, has nine members in Rajya Sabha and 20 in Lok Sabha.
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Kumar, however, refused to comment on Aam Admi Party (AAP) leader Arvind Kejriwal describing the Bill as "weak and would not be in a position to send even a mouse to jail."
"Every comment does not deserve a reaction from me," he said when his reaction was sought on Kejriwal's views.
Kumar dwelled on the significance of Lokpal legislation and said the state had already established a strong Lokayukta in furtherance of this.