Haroon Chakhansuri, President Ashraf Ghani's spokesman, said the four-nation group - comprising Afghanistan, Pakistan, China and the United States - has no plans to meet again anytime soon.
The militant group has met five times since January, in Kabul and Pakistan. The meetings did not include the Taliban, who have refused to join peace talks.
"There is no set time" for another meeting of the group," Chakhansuri told The Associated Press.
Chakhansuri's remarks reflect the Kabul administration's disappointment over what it has described as half-hearted efforts by neighboring Pakistan to jumpstart the peace process. Ghani has accused Islamabad of harboring Taliban leaders - an accusation that Islamabad denies.
Afghanistan continues to suffer from "terrorist groups that operate from and have a support base in Pakistan," Chakhansuri said.
Ghani took office in 2014 promising peace and began overtures to Islamabad aimed at ending the war. Following a number of large-scale suicide attacks in Kabul, Ghani cut the dialogue with Pakistan, demanding Islamabad cease support for the Taliban and its close affiliate, the Haqqani network.
US President Barack Obama earlier this month scrapped plans to significantly cut the number of US troops in Afghanistan to 5,500 at the end of the year, though reducing the number slightly through 2017.
A senior Pakistani security official familiar with the Afghan peace process echoed Chakhansuri's statement. The official spoke on condition of anonymity as he was not authorized to speak to the media.
"The peace talks between the Taliban and Kabul are not likely to be resumed soon," he said, adding that "neither the Taliban nor Afghan government are interested in reviving" the talks.