The decision needs to be followed up with various legal procedures in order to make it a reality, President Vladimir Putin's special representative on Afghanistan, Zamir Kabulov, was quoted as saying.
Putin said in July that Russia considered Afghanistan's Taliban movement an ally in the fight against terrorism, Reuters reported.
Russia has been slowly building ties with the Taliban since it seized power in Afghanistan in August 2021 as US-led forces withdrew after 20 years of war but the movement is still officially outlawed in Russia.
Russia added the Taliban to its list of terrorist organizations in 2003. Removing it would be an important step by Moscow towards normalizing relations with Afghanistan.
The Taliban's acting foreign minister Amir Khan Muttaqi said, "We also appreciate the positive remarks by the high-ranking officials of the Russian Federation in this regard and hope to see more effective steps soon".
Lavrov said the United States should return confiscated assets to Afghanistan and the West should acknowledge responsibility for the post-conflict reconstruction of the country.
Lavrov also called for an increase in humanitarian aid to Afghanistan and said Russia would keep sending it food and essential goods.
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