In a memorandum addressed to UN Secretary-General Antonio Guterres, the Joint Resistance Leadership (JRL) said such a day will provide an opportunity "to remind the international community of the unresolved Kashmir issue".
The memorandum was released to the press after the police foiled the JRL's march to the local UN office earlier in the day.
The JRL, comprising Syed Ali Shah Geelani, Mirwaiz Umar Farooq and Mohammad Yasin Malik, also asked the UN Military Observer Group in India and Pakistan (UNMOGIP) to fulfil its obligations towards ensuring peace along the Line of Control.
The separatists on Thursday had asked people to observe a shutdown today -- the International Human Rights Day -- and march towards the office of UNMOGIP at Sonwar here to protest alleged rights violations.
Authorities imposed restrictions in parts of Srinagar to maintain law and order in view of the strike and the march to the local office of the United Nations called by separatists.