The party also accused Congress of not being serious about the security of 125 crore Indians and for keeping its "petty politics" above the issue of security.
"BJP strongly condemns the behaviour of Congress members in Rajya Sabha. The Congress members ignored to debate the issue of national security and raised slogans against Prime Minister Narendra Modi. It is not just against the dignity of Parliament but also an insult to the 125 crore Indians," a statement from the party said.
"It seems Congress is not serious about the security of 125 crore Indians. For Congress, politics is more important than national security.
"Congress president Sonia Gandhi and vice president Rahul Gandhi should apologise to the people of the country for such irrresponsible, unparliamentary and undemocratic attitude of Congress members," the statement said.
The party said while Home Minister tried to send a strong message to Pakistan through his statement, "to achieve their petty political goals, Congress members did not allow the House to function".
The statement said even Rajya Sabha deputy chairman P J Kurien said this was not a political issue and the issue pertained to the terrorist attack, but despite that Congress members continued to raise slogans.
"Such conduct by Congress members is condemnable," it said, adding that such 'undemocratic' behaviour of Congress members was seen in Lok Sabha too when the Gurdaspur terrorist attack took place.