"Pakistan will not provoke a conflict. But India should not mistake our restraint for weakness," Pakistan's Foreign Minister Shah Mahmood Qureshi wrote in a letter to the Security Council.
"If India chooses to resort again to the use of force, Pakistan will be obliged to respond, in self defence, with all its capabilities," he said, adding that "in view of the dangerous implications" Pakistan requested the meeting.
It was not immediately clear how the 15-member council would respond to the request and whether a member of the body would also need to make a formal request. Pakistan said on Saturday it had China's support for the move.
Watch: Pakistan seeks special UNSC session over J&K
Poland is president of the Security Council for August. Polish Foreign Minister Jacek Czaputowicz told reporters at the United Nations on Tuesday that the council had received a letter from Pakistan and "will discuss that issue and take a proper decision."
UN Secretary-General Antonio Guterres has called on India and Pakistan to refrain from any steps that could affect the special status of Jammu and Kashmir. Guterres also said he was concerned about reports of restrictions in Jammu and Kashmir.
The UN Security Council adopted several resolutions in 1948 and in the 1950s on the Kashmir issue, including one which says a plebiscite should be held to determine the state's future.
Another resolution also calls upon both sides to "refrain from making any statements and from doing or causing to be done or permitting any acts which might aggravate the situation."
UN peacekeepers have been deployed since 1949 to observe a ceasefire between India and Pakistan in Jammu and Kashmir.
'Pakistan will not provoke a conflict. But India should not mistake our restraint for weakness,' Pakistan`s Foreign Minister Shah Mahmood Qureshi wrote in a letter to the Security Council seen by Reuters.