Former chief Igor Syrtsov resigned in October to be appointed aide to the communications minister.
"Kazmin was unanimously selected by the Federal Communications Agency to replace the head of the Russian postal service. Under Russian law, Kazmin will sign a contract within a month," the statement reads.
He was the sole candidate for the post.
President Vladimir Putin accepted in October Prime Minister Viktor Zubkov's proposal to appoint Kazmin as head of the country's postal service.
Kazmin held the top position at Sberbank since 1996. He has been replaced by former economics minister German Gref.
Sberbank is now the largest bank in Eastern Europe with assets totaling over 3.5 trillion rubles ($141 billion), or more than 25% of Russia's overall banking assets.
The Russian Post Federal State Unitary Enterprise handles mail services throughout Russia. It has some 415,000 employees and 40,000 offices, double the number of Sberbank's offices.
Russia's postal service annually processes over 1.4 billion letters, 38 million parcels and more than 188 million money transfers.