In an article in the New York Times, he called for action against a list of businessmen including Abramovich and Usmanov.
Neither man has any public connection to Putin or the Russian Government.
Abramovich declined to comment. He is understood to consider himself a private citizen with no connection to the Russian Government, meaning there should be no question of sanctions being applied to him.
The White House yesterday imposed sanctions on at least half the names on Navalny's list - including Putin's right-hand man, Sergei Ivanov. However, neither Abramovich nor Usmanov faces any action from US authorities. Nor has Britain taken any action against them so far.
Russia, meanwhile, says it has imposed entry bans on nine US politicians and officials in retaliation to Washington's sanctions over Crimea.
The Russian Foreign Ministry released the list that includes John Boehner, the speaker of the House of Representatives and Robert Menendez, the head of the Senate Foreign Affairs Committee.