A statement issued by UNSC President Kodjo Menan of Togo said Council members "condemned in the strongest terms the terrorist attack in New Delhi, India aimed at Israel's diplomatic personnel which resulted in injuries to diplomatic personnel and civilians."
Israeli diplomat Tal Yehoshua-Koren was among the four persons injured in the Delhi attack.
The statement also condemned the attempted terror attack in Georgia. The Council did not name any country for being responsible for the attack.
In its statement, the Security Council said it condemns the "new and recurring" acts of violence against diplomatic and consular representatives, "which endanger or take innocent lives and seriously impede the normal work of such representatives and officials."
The Council members reaffirmed that terrorism in all its forms and manifestations constitutes one of the most serious threats to peace and security and that any acts of terrorism are "criminal and unjustifiable" regardless of their motivations.
"The members of the Security Council underlined the need to bring perpetrators, organisers, financiers and sponsors of these reprehensible acts of terrorism to justice, and urged all States, in accordance with their obligations under international law and relevant Security Council resolutions, to cooperate actively with all relevant authorities in this regard," the statement said.
The Council also reaffirmed the need to combat threats to international peace and security caused by terrorist acts.