Sources said the party chief asked BJP leaders from the state to refrain from making public comments which could hurt the alliance further.
Leaders of the two alliance partners are embroiled in a war of words after JD(U) leaders criticised Modi as a possible prime ministerial candidate of NDA, saying he did not possess "secular credentials".
Party sources said BJP President Rajnath Singh asked party leaders from Bihar not to react to comments made by JD-U leaders.
"All party leaders have been asked to refrain from reacting to comments made by JD(U) leaders and from making public comments against each other as it may hurt the alliance further," said a senior party leader.
More From This Section
Tension is simmering between the two alliance partners after Modi emerged as BJP's possible prime ministerial candidate to which JD(U) has strong objections and it wants a candidate with "secular credentials".
BJP leaders from Bihar including deputy chief minister Sushil Kumar Modi, Bihar BJP president Mangal Pandey and leaders like Nand Kishore Yadav, Ashwani Chaubey, and C P Thakur met party's central leaders Rajnath Singh and Arun Jaitley where other leaders like Ravi Shankar Prasad, Rajiv Pratap Rudy and Shahnawaz Hussain were also present.