"This is the main issue on which we disagree with the government. They want to sell a dream of peace whereas we want to gift our people a real peace", co-chairman Selahattin Demirtas said at a weekly parliamentary meeting of the party in Ankara.
Demirtas' comments came after Deputy PM Bulent Arinc accused him Monday of not being sincere about wanting a successful solution process, referring to the government initiative launched in 2013 aimed at ending the decades-old conflict with the outlawed Kurdistan Workers' Party, or PKK.
Sirri Sureyya Onder from the HDP announced last Friday – after a meeting between HDP lawmakers and government officials, including Deputy Prime Minister Yalcin Akdogan – a call for the group to hold a congress in spring this year to push the PKK to lay down arms.
"Arms must definitely be laid down. We don't want any conflict," Demirtas said.
"However, we don't believe that the government can bring democracy, freedom and peace to this country. The PKK will lay down arms, but we will make them do it," he said.
Demirtas also accused the government of delaying a joint disarmament statement for seven months, in an effort to garner public support ahead of the upcoming parliamentary elections on June 7.
"They say it was delayed 25 days because of me. This call was supposed to be made seven months ago, right after the presidential elections. Let me tell you why they delayed it; they delayed it because they wanted to wait until the upcoming elections neared so that they could market their dream of peace.
"And they accuse us of being an opponent of peace just because we are criticizing this," he said.
The PKK has fought for an independent Kurdish state since 1984; the conflict has claimed around 36,000 lives in Turkey.
Turkey, the U.S. and the European Union list the PKK as a terrorist organization.