Vahidi said that the purpose of this committee is to verify the Taliban's claims about water scarcity and determine rights of Iran.
Earlier, the Taliban had said that there is not enough water in the Kajaki Dam in Afghanistan.
Vahidi added that with the formation of this committee, it will be clear if the Taliban or Iranian experts’ claims are right.
Vahidi said that the joint committee must visit the dams and assess the water level.
At the same time, Iran's interior minister has quoted the country's special envoy for Afghanistan as saying that the Taliban have agreed to the idea of forming a joint committee by the two sides.
The water rights issue between Iran and Afghanistan has escalated over the past few months.
Earlier, Feda Hossein Maliki, a member of the National Security and Foreign Policy Commission of the Iranian Parliament said that the water rights issue has become a military priority of the Islamic Republic.
Maliki emphasised that "no group" in Afghanistan can deprive Iran of its water rights from the Helmand River.
Maliki said that the Islamic Republic has no issue with the people of Afghanistan, but Tehran will not allow a group in the country to deprive Iran of its water rights.
On Friday, he also said that the Taliban will finally be forced to provide the water rights of Iran.
The Taliban officials have always emphasised that there is not enough water in the Helmand River.