The one-day visit comes after the Afghan government hinted that Pakistani intelligence may have played a role in deadly attacks in Kabul last week - a suggestion Pakistan vehemently denied.
Nawroz, the Persian New Year, is a major holiday in Afghanistan.
"At the invitation of President Hamid Karzai, President Mamnoon Hussain will be visiting Afghanistan on 27 March 2014 to participate in the Nawroz Festival," said a statement by the foreign ministry.
Pakistani Prime Minister Nawaz Sharif visited Kabul in November last year for talks with President Karzai on the future of the peace process and bilateral relations between the two Muslim neighbours.
"The President's visit is part of the efforts to strengthen bilateral relations with Afghanistan in all dimensions and support efforts for durable peace, stability and prosperity in the region," the ministry said.