BJP also attacked Congress Vice President Rahul Gandhi and said he makes statements which always stir a controversy and force his party to defend him.
The main Opposition has already criticised Kumar for not meeting the families of the six people killed in the October 27 blasts in Patna.
Modi will tomorrow visit the homes of the deceased located in different districts of the state.
In an another counter-attack, he said while Nitish had spoken about Modi speaking against the backdrop of the Red Fort in one of his public meetings, the Bihar chief minister himself has prime ministerial ambitions and is dreaming of unfurling the national flag there.
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"Though six people were killed in the Patna rally, the Bihar chief minister does not have time to visit their families," he said.
"Rahul Gandhi's speeches have no effect and whenever he opens his mouth he gets embroiled in a controversy and his party has to clarify... Congress only incurs loses when its prime ministerial candidate Rahul Gandhi speaks," Hussain said.