The changes will come into effect seven days after their official publication in the government newspaper.
Prime Minister Vladimir Putin said he expected the measures to allow Russian manufacturers to resume production and improve their economic situation, maintaining employment in towns home to nonferrous metals producers and thus positively affecting the social situation.
Economics minister Elvira Nabiullina said that with world nickel prices falling, manufacturing would have become unprofitable if the export duties had been retained. She said the lifting of duties would open up new resources to companies.
A governmental commission for protective measures in foreign trade and customs policy recommended the lifting of a 5% export duty for plain nickel and 10% duty for cathode copper last December.
Norilsk Nickel and UGMK are Russia's largest copper producers and exporters.