The votes are being cast in north Kashmir's Langate block in Kupwara district and Tangmarg block in Baramulla district.
In south Kashmir''s Breng block in Anantnag district votes were being cast to elect the grass root level representatives.
Khag block in central Kashmir''s Budgam district also went to voting today.
The eight blocks in Jammu division where the panchayat elections are underway include Mahore in Reasi district, Majalta in Udhampur district, Bilawar in Kathua district, Dansal in Jammu district, Marmat in Doda District, Drabshalla in Kishtwar district, Surankote and Bafliaz in Poonch district.
The first leg of the 16-phase polls was held in eight blocks of the state on April 13.
The elections for the seventh phase will be held on May 8, eighth phase on May 12, ninth phase on May 16, tenth phase on May 21.
Last six phases will be held on May 25, May 29, June 2, June 6, June 11 and June 16.
Panchayat elections are being held in the state after a gap of 10 years.